Research Publications and Interest

Books:

1. Asymptotic Methods in Equations of Mathematical Physics, 1982 (in Russian).

2. Asymptotic Methods in Equations of Mathematical Physics (revised and expanded English version), Gordon and Breach Science Publishers, New York--London, 1989

3. Large Time Asymptotic Expansion of the Solutions of Exterior Boundary Value Problems for Hyperbolic Equations and Quasiclassical Approximations, Chapter in "Partial Differential Equations, V", 1999, Springer-Verlag, Berlin-Heidelberg-New York, Series: Encyclopaedia of Math. Sciences.

4. Linear Water Waves: A Mathematical Approach, Cambridge University Press, 2002 (with N. Kuznetsov and V. Mazya)

Articles:

186. Propagation of acoustic waves in 3D periodic media: Dispersion, clusters, and local gaps, (2024), submitted (with Y. Godin), http://dx.doi.org/10.2139/ssrn.4865864

185. Spectral Analysis of Lattice Schrodinger-Type Operators Associated with the Nonstationary Anderson Model and Intermittency, (2024), submitted, (with D. Han and S. Molchanov) arxiv.org/abs/2403.13977

184. Local gaps in three-dimensional periodic media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, accepted (2024), (with Yu. Godin) arXiv:2403.01689

183. Propagation of acoustic waves in 3D periodic media containing small inclusions:

I. Dispersion analysis and formation of clusters, II. Determination of gaps.p.474-477. Proc. of the 16th Intern. Conf. on Math. and Numerical Aspects of Wave Propagation. Berlin, Germany (2024), (with Yu. Godin)
182. Propagation and dispersion of Bloch waves in periodic media with soft inclusions. J. Math. Phys., 65 (5), 051505 (2024), (with Yu. Godin) arxiv.org/abs/2304.03453
181. Negative eigenvalues of non-local Schrodinger operators with sign-changing potentials, Proceedings of AMS, 151, No 11, 4757-4770 (2023) (with S. Molchanov) arXiv:2209.12124

180. Absolutely continuous and pure point spectra of discrete operators with sparse potentials, Math. Methods in Applied Sciences, 2022; 1-12. doi:10.1002/mma.8435 (with S. Molchanov, O. Safronov), arXiv:2110.08684
179. The slowdown of group velocity in periodic waveguides. Mechanics and Physics of Structured Media, pp.191 - 200 (2022) (with Yu. Godin), arXiv:1912.06964

178. Clusters of Bloch waves in three-dimensional periodic media, Proceedings A., Proceedings R. Soc., A., 478, issue 2267 (2022), 20220519 (with Yu. Godin) arXiv:2207.08296

177. Global limit theorem for parabolic equations with a potential, SIAM Journal on Mathematical Analysis 54 (2022), no 2, 2097-2113 (with L. Koralov), arXiv:2106.13307.

176. On the Near-Critical Behavior of Continuous Polymers, Pure and Applied Functional Analysis, 7 (2022), no 2, 691-702 (with L. Koralov, S. Molchanov) arXiv:2012.01607.

175. The Radius of a Polymer at a Near-Critical Temperature, Applicable Analysis, 101 (2022) no 8, 2797-2804, (with L. Koralov, S. Molchanov) arXiv:2008.04493v1.

174. Dispersion of waves in two and three-dimensional periodic media, Waves in Random and Complex Media, 32, No. 3, pp. 1150-1173 (2022) (with Yu. Godin), arXiv:1905.12529

173. Stanislav Alekseevich Molchanov (on his 80th birthday), Russ Math Surv, 76 (5), (2021), 943-949 (with M. Aizenman et al.).

172. Global solution of the initial value problem for the focusing Davey-Stewartson II system, Pure and Applied Functional Analysis, 2 (5), (2020), 369-389 (with E. Lakshtanov), arXiv:1803.00955.

171. On critical value of the coupling constant in exterior elliptic problems, Applicable Analysis, 101, No. 1, 108-117 (2020), (with R. Puri), arXiv:1812.10132.

170. Obituary of Alexander Gordon, J. of Spectral Theory, 9, no 4 (2019), 1157-1164, (with S. Jitomirskaya, S. Molchanov, B. Simon) arXiv:1910.08374

169. Designing lasing and perfectly absorbing potentials, Physical Review A, Vol. 99, No. 4, (2019), 043838, (with V. Konotop, E. Lakshtanov) arXiv:1812.05499.

168. Dispersive and effective properties of two-dimensional periodic media, Proceedings of the Royal Society A, Vol. 475, issue 2227, 20180298, 17 pp. (2019) (with Yu. Godin) arXiv:1805.02636.

167. Population dynamics with moderate tails of the underlying random walk, SIAM Journal on Math. Analysis, 51(3), (2019), 1824-1835 (with S. Molchanov) arXiv:1805.03133.

166. Solution of the initial value problem for the focusing Davey-Stewartson II system, Contemporary Math, American Math. Society, Providence, RI 2019, accepted, (with E. Lakshtanov), arXiv:1604.01182.

165. Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane, SIAM Journal on Mathematical Analysis, 49(5), (2017), 3766-3775 (with J. Tejero, E. Lakshtanov), arXiv:1703.04905

164. Recovery of $L_p$ potential in the plane, Journal of Inverse and Ill-Posed Problems, 25, No 5 (2017), 633-651, (with E. Lakshtanov), arXiv:1608.05807.

163. Spectral analysis of non-local Schrodinger operators, Journal of Funct. Analysis, 273,No 3 (2017), 1020-1048 (with Yu. Kondratiev and S. Molchanov), arXiv:1603.01626.

162. Long-wave approximation for the effective dielectric tensor of periodic materials, Proceedings of 2016 URSI International Symposium on Electromagnetic Theory (EMTS), Espoo, Finland, 553-556. (with Yu Godin)

161. On reconstruction of complex-valued once differentiable conductivities, J. Spectral Theory, 6, No 4 (2016), 881-902 (with E. Lakshtanov), arXiv:1511.08780

160. A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy, Rend. Inst. Mat. Univ. Trieste, 48, (2016), 1-26, Special issue in honor of G. Alessandrini's 60th birthday, (with E. Lakshtanov, R. Novikov), arXiv:1509.06495

159. Intermittency for branching walks with heavy tails, Stochastics and Dynamics, 17, No. 6 (2017) 1750044 (with A. Getan, S. Molchanov), arXiv:1509.02214

158. Uniqueness in potential scattering with reduced near field data, Communications in PDE, 42:6, (2017), 943-949, (with E. Lakshtanov), arXiv:1503.07106

157. Recovery of interior eigenvalues from reduced near field data, (with E. Lakshtanov), Applicable Analysis, 96, (2017), No 15, 2545-2552, arXiv:1501.03748

156. A test for the existence of exceptional points in the Faddeev scattering problem, Theoretical and Mathematical Physics, 190, No 1, (2017), p 77-90, (with E. Lakshtanov), arXiv:1407.1548.

155. Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues, SIAM Journal on Math. Analysis, 47(4), (2015) 3212-3234 (with E. Lakshtanov) arXiv:1401.6213.

154. Global limit theorems on the convergence of multidimensional random walks to stable processes, Stochastics and Dynamics, 15, (2015), 1550024 (with A. Agbor, S. Molchanov) arXiv:1405.2487

153. On mathematical foundation of the Brownian motor theory, J. Funct. Analysis 267, N 6 (2014), 1725-1750 , arXiv:1304.6790, (with L. Koralov and S. Molchanov)

152. Weyl type bound on positive Interior Transmission Eigenvalues, Communications in PDE, 39, N 9, (2014), 1729-1740, (with E. Lakshtanov), arXiv:1307.4503

151. Lyapunov exponent of the random Schrodinger operator with white or short-range correlated noise potential, Russian Journal of Mathematical Physics, Vol. 20, No. 4, (2013), 438-452. (with Yu. Godin and S. Molchanov)

150. Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem, Inverse Prroblems, 29, No 10 (2013) 104003 (with E. Lakshtanov) arXiv:1212.6785

149. Non-random perturbations of the Anderson Hamiltonian in the 1-D case, Applicable Analysis, 92, No. 8, 1755-1765 (2013) (with J. Holt and S. Molchanov) arXiv:1205.1038

148. On the negative spectrum of the hierarchical Schrodinger operator, J. Funct. Analysis, 263 No 9 (2012), 2676-2688, (with S. Molchanov) arXiv:1206.4019

147. Bounds on positive interior transmission eigenvalues, Inverse Problems, 28 (2012) 105005 (with E. Lakshtanov) arXiv:1206.3782

146. A priori estimates for high frequency scattering by obstacles of arbitrary shape, Comm. Partial Differential Equations, 37, No 10 (2012), 1789-1804 (with E. Lakshtanov) arXiv:1011.5261

145. Remarks on interior transmission eigenvalues, Weyl formula and branching billiards, Journal of Physics A: Mathematical and Theoretical, 45, No 12 (2012), 125202 (with E. Lakshtanov) arXiv:1112.0891

144. Ellipticity in the interior transmission problem in anisotropic media, SIAM Journal on Mathematical Analysis, 44, No 2, (2012), 1165 -1174 (with E. Lakshtanov) arXiv:1108.5987

143. Bargmann type estimates of the counting function for general Schrodinger operators, (2012), Journal of Mathematical Sciences, 184, No 4 (2012), 457-508 (with S. Molchanov) arXiv:1201.3135

142. High frequency scattering by a classically invisible body, SIAM Journal of Applied Mathematics, 72, No 2 (2012) 646-669 (with E. Lakshtanov and B.D.Sleeman) arXiv:1008.3469

141. Scattering of solitons for coupled wave-particle equations, Journal of Math. Analysis and Application, 389 (2012) No 2, 713-740 (with V. Imaikin, A. Komech) arXiv:1006.2618

140. The effect of disorder on the wave propagation in one-dimensional periodic optical systems, Waves in Random and Complex Media, 21 (2011) No 1, 135-150 (with Yu. Godin and S. Molchanov) arXiv:1110.4132

139. Non-random perturbations of the Anderson Hamiltonian, Journal of Spectral Theory, 1, No 1, (2011), 179-196 (with S. Molchanov) arXiv:1002.4220

138. Resonance regimes of scattering by small bodies with impedance boundary conditions, Journal of Physics A: Mathematical and Theoretical, 43 (2010), No 41, 415205 (with E. Lakshtanov). arXiv:1001.4754

137. On general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities, in Around the research of Vladimir Maz'ya III, Editor A. Laptev, Int. Math. Ser. (N.Y.) 13, Springer, 2010, 201-246 (with S. Molchanov) (see arXiv:0812.2968).

136. On the determination of the boundary impedance from the far field pattern, SIAM Journal on Appl. Math., 70, (2010), 2273-2280 (with Yu. Godin). arXiv:0908.0359

135. A solvable model for homopolymers and self-similarity near the critical point, Random Operators and Stochastic Equations, 18, No 1, (2010), 73-95 (with M. Cranston, et al). (see arXiv:0906.2816)

134. Wave propagation in periodic networks of thin fibers, Waves in Random and Complex Media, 20, No 2, (2010), 260-275 (with S. Molchanov). (arXiv:0908.0156)

133. Propagation of Waves in Networks of Thin Fibers, in Integral Methods in Science and Engineering, Vol. I, Birkhauser Verlag, (2010), 255-278. (with S. Molchanov). (see arXiv:0902.1567)

132. On negative spectrum of Schrodinger type operators, in Operator Theory: Advances and Applications, Birkhauser Verlag, Vol. 193, (2009), 197-214 (with S. Molchanov).

131. Continuous Model for Homopolymers, J. Functional Analysis, 256 (2009) no. 8, 2656-2696 (with M. Cranston et al) (see arXiv:0902.2830)

130. On Dispersive Properties of Discrete 2D Schrodinger and Klein-Gordon Equations, J. Functional Analysis, 254, no. 8 (2008), 2227--2254. (with A. Komech and E. Kopylova).

129. A simple method for solving the inverse scattering problem for the difference Helmholtz equation, Inverse problems, 24 no. 2 (2008) 025007 (with Yu. Godin).

128. The inverse scattering problem for the difference operators: the decomposition method, Journal of Physics: Conference Series, 135, (2008), 012044 (with Yu. Godin).

127. Eigenvalues estimates for random Schrodinger operators, Proceedings of AMS, 136, no. 11 (2008), 3921--3929. (with O. Safronov) (see mp_arc 07 116).

126. Vladimir Gilelevich Mazya (on his 70^th birthday), Russian Math. Surveys, 63, no. 1, (2008), 189-196. (with M. Agranovich et al.)

125. Laplace operator in networks of thin fibers: spectrum near the threshold, in Stochastic analysis in mathematical physics, 69-93, World Sci. Publ., Hackensack, NJ, 2008. (with S. Molchanov), (see arXiv:0704.2795).

124. Stanislav Molchanov, CRM Proceedings and Lecture Notes, V.42 (2007), ix-x (with V. Jakshic).

123. Transmission through a randomly perturbed periodic medium, Proceedings of the conference WAVES 2007, Reading, UK. pp.53-56.

122. Wave propagation in 1D randomly perturbed periodic medium, Waves in Random and Complex Media, 17 (3), pp 381-395 (2007), (with Y. Godin and S. Molchanov).

121. Scattering solutions in networks of thin fibers: small diameter asymptotics, Comm. in Math. Physics, V 273 (2007), pp 533-559 (with S. Molchanov), (see arXiv:math-ph/0609021).

120. On scattering of solitons for wave equation coupled to a particle, CRM Proceedings and Lecture Notes, V.42 (2007), pp249-271 (with V. Imaikin and A. Komech ).

119. On the influence of random perturbations on the propagation of waves described by a Schrodinger operator, CRM Proceedings and Lecture Notes, V. 42 (2007), pp 167-179. (with Y. Godin and S. Molchanov).

118. On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators, Comm. in Math. Physics, 268 (2006), pp 673-686, (with P. Kuchment) (see arXiv: math-ph/0511084).

117. On soliton asymptotics and scattering for a nonlinear wave-particle system, Comm. in Math. Physics, V. 268, No 2, (2006), pp 321-367 (with V. Imaikin and A. Komech) (see arXiv: math-ph/0609205).

116. Transition from a network of thin fibers to the quantum graph: an explicitly solvable model, Contemporary Mathematics, v. 415, AMS (2006), pp 227-240 (with S. Molchanov) (see arXiv: math-ph/0605037).

115. Localization on Avron-Exner-Last Graphs: I. Local Perturbations, Contemporary Mathematics, v. 415, AMS (2006), pp 81-92 (with K. Chen and S. Molchanov).

114. Slowing down and reflection of waves in truncated periodic media, Journal of Functional Analysis, 231 No 2 (2006), pp 287-311 (with S. Molchanov). (see arXiv:math/0503075)

113. Large time behavior of the solutions to the difference wave operators, Comm. PDE, 31 No 3, (2006), pp 397-416 (with H. Islami ). (see arXiv:math/0503128)

112. Slowing down of the wave packets in quantum graphs. Waves in Complex and Random Media, 15, No 1 (2005), pp. 101-112 (with S. Molchanov)

111. Slowdown of the wave packages in finite slabs of periodic media, Waves in Random Media, 14, No 3 (2004), pp. 411-423 (with S. Molchanov)

110. Schrodinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum, Journal of Functional Analysis, 215 (2004), 111-129 (with S. Molchanov) (see arXiv:math-ph/0308012)

109. The spectrum of water waves produced by moving point sources, and a related inverse problem, Wave Motion, 38, (2003), 345-354 (with H. Hellsten, and V. Maz'ya)

108. Quasi 1D localization: deterministic and random potentials, Markov Processes and Related Fields, 9, No 4, (2003), 687-708 (with W. Kirsh et al)

107. Radiation conditions for the difference Schrodinger operators, Applicable Analysis, 80, 525-556 (2001) (with W. Shaban).

106. First KdV integrals and absolutely continuous spectrum for 1-D Schrodinger operator, Comm. of Math. Phys., 216, 195-213 (2001) (with S. Molchanov and M. Novitskii).

105. On absence of embedded eigenvalues for Schrodinger operators with perturbed periodic potentials, Comm. PDE, 25, 1809-1826, (2000) (with P. Kuchment). (see arXiv:math-ph/9904016)

104. Spectrum of multidimensional Schrodinger operators with sparse potentials, Analytical and Computational Methods in Scattering and Applied Mathematics, Editors F. Santosa, I. Stakgold, Chapman and Hall/CRC, 2000, pp 231-253 (with S. Molchanov).

103. Scattering on the system of the sparse bumps: multidimensional case, Applicable Analysis, Vol. 71, (1999), pp167-185 (with S. Molchanov).

102. Resonances for multistratified acoustic waveguides, Applicable Analysis, Vol. 71, (1999), pp 413-440 (with Y. Dermenjian and O. Poisson).

101. On Maz'ya's works in the linear theory of water waves, Operator Theory, Advances and Applications, Vol 109, Birkhauser Verlag, 1999, pp 17-34 (with N. Kuznetsov).

100. Asymptotic methods for an optimal antenna problem, SIAM Journal of Applied Math., Vol. 59, No 1, pp 242-260, (1998) (with T. Angell and R. Kleinman)

99. On spectral asymptotics for domains with fractal boundaries of cabbage type, Mathematical physics, Analysis and Geometry, Vol 1, pp 145-170 (1998) (with S. Molchanov).

98. On embedded eigenvalues of perturbed periodic Schrodinger operators, Spectral and Scattering Theory (Newark, DE, 1997) pp67-75, Plenum, N.-Y., 1998 (with P. Kuchment)

97. Long time behavior of solutions to linear and nonlinear hyperbolic problems, Modern Mathematical Methods in Diffraction Theory and its Appl. in Engineering (Proceedings of the Sommerfeld 96 Workshop, Germany), pp 234-250, Lang, Frankfurt am Main, 1997.

96. On spectral asymptotics for domains with fractal boundaries, Comm. Math. Physics, Vol 183, pp 85-117 (1997) (with S. Molchanov).

95. Asymptotic approximations for optimal conformal antennas, in "Ultra-Wideband, Short-Pulse Electromagnetics 3", Edited by C.Baum, L. Carin, A. Stone, Plenum Press, pp 177-183, 1997.(with T. Angell and R. Kleinman).

94. On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations, Arch. Rat. Mech. and Anal., Vol 134, pp 227-248 (1996) (with A. Komech).

93. Full low-frequency asymptotic expansion for second order elliptic equations in two dimensions, Math. Methods in the Appl. Sciences, Vol. 17, pp 989-1004 (1994), (with R. Kleinman).

92. Asymptotic approximation of optimal solutions of an acoustic radiation problem, Inverse Scattering and Potential Problems in Mathematical Physics (Oberwolfach, 1993), pp 5-16 , Lang, Frankfurt am Main (1993) (with T. Angell and R. Kleinman).

91. On ship waves, Wave motion, Vol. 18, pp 31-50 (1993) (with V.Maz'ya).

90. On the local energy of solutions of exterior mixed problems that are periodic with respect to $t$, Trans. Moscow Math. Soc., pp 191-216, (1993).

89. Full low-frequency asymptotic expansion for elliptic equations of second order, Second Int. Conference on Math. and Numerical Aspects of Wave Propagation, Edited by R. Kleinman..[at al.], SIAM, pp 296-301, 1993 (with R. Kleinman).

88. Scattering of waves in a medium depending periodically on time, Asterisque, Vol 210, pp 327-340, (1992).

87. On uniqueness and asymptotic behavior of solutions of the Neumann-Kelvin problem, Abstracts of Seventh International Workshop on Water Waves and Floating Bodies, Val de Reuil, France, pp 125-128, (1992), (with V. Maz'ja).

86. Direct method of research of the scattering problem in a medium depending periodically on time, Abstract of International Conference on Differential Equations and Mathematical Physics, Georgia, TECH-UAB, pp 68-69, (1992).

85. Scattering by periodically moving obstacles, Math. USSR Sbornik, Vol 73, No 1, pp 289-304, (1992).

84. On ship waves, Preprint of Linchoping University, Sweden, (1991), pp 1-48 (with V. Maz'ja).

83. Scattering of waves by periodically moving bodies, Proceedings of Symposium Dedicated to the Century of Academician N. Muskhelishvili, Continuum Mechanics and Related Problems of Analysis, pp 121, 1991.

82. On local energy of solutions of exterior mixed periodic in time problems, Trans. Moscow Math. Soc., Vol 54, (1991) (in Russian).

81. Mikhail Vasilevich Fedoryuk, Russian Math. Serveys, Vol 46, pp237-240 (1991) (with V. Arnold and others).

80. On the asymptotic behaviour as $ t \to\ infty $ of solutions of the exterior mixed problem depending periodically on time, Conference on Differential Equations and Their Applications, (Ruse, Bulgaria, 1989), pp 311-320, Tech. Univ. Ruse, 1991.

79. Scattering on periodically moving obstacles, Uspehi Mat. Nauk, Vol 45, No 4, pp 131-132, (1990), (in Russian).

78. Asymptotic behavior as $ t \to\ infty $ of solutions of exterior mixed problems periodic with respect to time, Mathematical Notes, Vol 47, No 4, pp 315-322, (1990).

77. Asymptotic expansion of the spectral function of elliptic operators in R^n, Journal of Soviet Mathematics, Vol 47, No 3, pp 2537-2546, (1989).

76. Asymptotic Methods in Equations of Mathematical Physics, Monograph, Gordon and Breach Science Publishers, New York--London, 1989.

75. On the decay of local energy for exterior mixed periodic in time problems, Uspehi Mat. Nauk, Vol 43, No 4, pp 177, (1988), (in Russian).

74. Exterior boundary problems and scattering theory, Encyclopaedia of Mathematical Sciences, Viniti-Springer Publishers, Vol 30, pp 190-206, 1987.

73. Asymptotic behaviour as $ t \to\ infty $ of solutions of exterior mixed problems for hyperbolic equations, and quasiclassics, Encyclopaedia of Mathematical Sciences, Viniti-Springer Publishers, Vol 34, pp 57--92, 1987.

72. Long-wave approximation in a problem of the interaction of an electromagnetic field with a conducting body , Uspehi Mat. Nauk, Vol 42, No 4, pp 141-142, (1987), (in Russian).

71. Long-wave approximation in a problem of interaction of electromagnetic field with a conducting body, Modern Problems of Mathematical Physics, 151-158, Tbilisi, April, 1987, (in Russian).

70. Limit-absorption principle, Encyclopaedia of Mathematics, Kluwer Academic Publishers, Vol 5, pp 451-452, 1987.

69. Fourier integral operator, Encyclopaedia of Mathematics, Kluwer Academic Publishers, Vol 4, pp 70-73, 1987.

68. Parametrix and asymptotics of the spectral function of differential operators in R^n, Math. USSR Sbornik, Vol 58, No 1, pp 245-265, (1987).

67. Local decrease of energy of solutions of hyperbolic systems, Journal of Soviet Mathematics, Vol 32, No 3, pp 272-280, (1986).

66. Parametrix and "almost spectral" expansion for differential operators in R^n, Uspehi Mat. Nauk, Vol 40, No 5, pp 303-304, (1985), (in Russian).

65. On the parametrix and asymptotics of the spectral function of differential operators in R^n, Soviet Math. Dokl., Vol 31, No 3, pp 456-460, (1985).

64. Characteristic Cauchy problem for a hyperbolic equation, Journal of Soviet Mathematics, Vol 31, No 4, pp 3135-3147, (1985), (with V. Maz'ja).

63. A complete asymptotic expansion of the spectral function of second order elliptic operators in R^n, Math. USSR Sbornik, Vol 51, No 1, pp 191-206, (1985).

62. Global parametrix of the Cauchy problem for hyperbolic equations, Uspehi Mat. Nauk, Vol 39, No 4, pp 101, (1984), (in Russian).

61. On a method of impedance measuring by oscillating plates and casings, Soviet Applied. Mechanics, Vol 48, No 1, pp 92-97, (1984), (with V. Krutin).

60. Limit-amplitude principle, Mathematical Encyclopaedia, Vol 4, Soviet Encyclopaedia Publishers, 1984, p 572, (in Russian).

59. Complete asymptotic expansion of a spectral function of elliptic operators in R^n, Moscow Univ. Math. Bull., Vol 38, (1983).

58. Solution of transport equations for charged particles in electric field, Protection from Ionizing Radiation of Nuclear Machinery, Vol 3, Tbilisi, TGU, 1983, pp 59-65, (with Yu. Egorov, K. Truchanov), (in Russian).

57. Scattering of charged particles in a thin layer of matter with electric field, Protection from Ionizing radiation of Nuclear Machinery, Vol 3, Tbilisi, TGU, 1983, pp 52-58, (with V. Grebenev, K. Truchanov), (in Russian).

56. Asymptotic Methods in Equations of Mathematical Physics, Monograph, Moscow State University Publishers, 1982, (in Russian).

55. Quasiclassical asymptotic behaviour of scattering amplitude, Application of methods of theory of functions and functional analysis to the problems of mathematical physics, Yerevan Univ. Publishers, 1982, pp 68-70, (in Russian).

54. Diagnostics of physical and mechanical properties of medium by oscillations of bordering casings, Waves and Diffraction, Proceedings of the 8th All-Union symposium on Diffraction and Propagation of Waves, Vol 1, 1981, (with V. Krutin), (in Russian).

53. Solution of transport equations for charged particles in electric field, Third All-Union Conference on Protection from Ionizing Radiation of Nuclear Machinery, 1981, p 10, (with Yu. Egorov, K. Truchanov), (in Russian).

52. Scattering of charged particles in a thin layer of matter with electric field, Third All-Union conference on Protection from Ionizing Radiation of Nuclear Machinery, 1981, p 9, (with K.Truchanov, V. Grebenev), (in Russian).

51. Short-wave asymptotic behaviour of scattering amplitude of waves in inhomogeneous medium, Chechoslovak Conference on Differential Equations and their Applications, Abstracts, Bratislava, Equadiff 5, 1981, pp 234-236.

50. Measuring of elastic characteristics of medium with arbitrarily oscillating casings, Uspehi Mat. Nauk, Vol 36, No 4., p 209, (1981), (with V. Krutin), (in Russian).

49. Stabilization of the solutions of exterior problems for hyperbolic systems, Partial Differential Equations (Proc. Conf., Novosibirsk, 1978), Nauka Publishers, 1980, pp 109-110, (in Russian).

48. Stabilization of the solutions of exterior problems for hyperbolic systems, Uspehi Mat. Nauk, Vol 35, No 4, p 159, (1980), (in Russian).

47. On the characteristic Cauchy problem for a hyperbolic equation, Russian Math. Surveys, Vol 35, No 1, pp 237--238, (1980), (with V. Maz'ja).

46. Large time asymptotic behaviour of solutions of exterior problems for hyperbolic systems, All Union Conference on Asymptotic Methods in the Theory of Singularly Perturbated Equations, Proceedings, Alma-Ata, 1979, pp 98-100, (in Russian).

45. Method of canonical operator, Theory of Propagation of Waves in Inhomogeneous and Nonlinear Mediums, Radio-Electronics Publishers, 1979, pp 144-187, (in Russian).

44. On a method of computation of flows of particles in systems of magnetic protection, Problems of Dosimetry and Protection from Radiation, Vol 17, Automizdat Publishers, 1978, pp 149-154, (with Yu. Egorov and others), (in Russian).

43. On differential equations describing the motion of a car on a curve, Proceedings of Scientific and Technical Conference of Moscow State University and Lihachev Automobile plant, 1978, (with Yu. Egorov), (in Russian).

42. Stationary problems of scattering theory and large time behaviour of solutions of nonstationary problems, Proceedings of All-Union Conference on Partial Differential Equations, (Moscow State University, Moscow, 1976). Moscow State Univ. Publishers, Moscow, 1978, pp 58-62, (in Russian).

41. Short-wave approximations in the problem of scattering of plane waves in inhomogeneous medium, Theory of Diffraction and Propagation of Waves, Vol 2 (Proceedings of 7th All-Union Symposium on Diffraction and Propagation of Waves), pp 22-25, 1977, (in Russian).

40. Quasiclassical approximation in stationary scattering problems, Functional Analysis and it's Applications, Vol 11, No 4, pp 247-257, (1977).

39. Quasiclassical approximations in scattering problems, Uspehi Mat. Nauk, Vol 32, No 1, pp 236-237, (1977), (in Russian).

38. The All-Union Conference-Seminar of heads of university mathematics departments, Uspehi Mat. Nauk, Vol 31, No 2, pp 247-253, (1976), (with B. V. Gnedenko and others), (in Russian).

37. On the method of stationary phase, Moscow Univ. Math. Bull., Vol 31, No 1, pp 50-58, (1976).

36. Short-wave asymptotic behaviour of solutions of steady-state problems, Proceedings of Conference on Differential Equations and their Applications, Rusa (Bulgaria), 1975.

35. On short-wave asymptotic behaviour of solutions of steady-state problems and the asymptotic behaviour as $ t \to\ infty $ of solutions of time-dependent problems, Russian Math. Surveys, Vol 30, No 2, pp 1-58, (1975).

34. The principle of limiting amplitude, Izv. Vysov, Matematika, No 2, pp 12-23, (1974), (in Russian).

33. Behaviour for large time of solutions of the Klein--Gordon equation, Trans. Moscow Math. Soc., Vol 30, pp 139--159, (1974).

32. On short-wave asymptotic behaviour of solutions of steady-state problems and the asymptotic behaviour as $ t \to\ infty $ of solutions of time-dependent problems, Colloquium on Differential Equations, Kestely (Hungary), Summaries, 1974.

31. On a point source in an inhomogeneous medium, Math. USSR Sbornik, Vol 23, No 1, pp 123-148, (1974).

30. On the problem of a point source in an inhomogeneous medium, Moscow Univ. Math. Bull., Vol 29, No 1/2, pp 21-27, (1974).

29. On exterior elliptic problems polynomially depending on a spectral parameter, and the asymptotic behaviour for large time of solutions of nonstationary problems, Math. USSR Sbornik, Vol 21, No 2, pp 221-239, (1973).

28. Large time behaviour of solutions of the Klein-Gordon equation, Uspehi Mat. Nauk, Vol 28, No 4, pp 213-214, (1973), (in Russian).

27. On the problem of the steady--state oscillations of a fluid layer of variable depth, Trans. Moscow Math. Soc., Vol 28, pp 56--73, (1973), (with V. G. Maz'ja).

26. On the plane problem of the motion of a body immersed in a fluid, Trans. Moscow Math. Soc., Vol 28, pp 33-55, (1973), (with V. G. Maz'ja).

25. On some stationary problems in the linear theory of surface waves, Soviet Physics Dokl., 17, pp 640--643, (1972/73), (with V. G. Maz'ja).

24. On eigenfunctions of an operator corresponding to the poles of the analytic continuation of the resolvent through the continuous spectrum, Math. USSR Sbornik, Vol 16, No 2, pp 307--322, (1972).

23. On the principle of limiting amplitude, Math. USSR Sbornik, Vol 15, No 1, pp 89--108, (1971).

22. Behaviour of the solution of the Cauchy problem for a hyperbolic equation as $ t \to\ infty $ , Math. USSR Sbornik, Vol 7, No 4, pp 533--567, (1969).

21. On the analytical properties of the resolvent for a certain class of operator-pencils, Math. USSR Sbornik, Vol 6, No 2, pp 241-273, (1968).

20. On elliptic problems in unbounded domains, Math. USSR Sbornik, Vol 4, No 3, pp 419-444, (1968).

19. The solutions of elliptic equation with constant coefficients and right-hand side increasing at infinity, Moscow Univ. Math. Bull., No 1, pp 41--48, (1968).

18. Uniformly nonelliptic problems II, Math. USSR Sbornik, Vol 2, No 1, pp 111-133, (1967), (with V. Grushin).

17. Uniformly nonelliptic problems I, Math. USSR Sbornik, Vol 1, No 4, pp 543-568, (1967), (with V. Grushin).

16. Uniformly noncoercive problems for elliptic equations, Soviet Math. Dokl., Vol 8, No 1, pp 154-158, (1967), (with V. Grushin).

15. Uniformly nonelliptic systems of singular integro--differential equations on compact manifolds, Soviet Math. Dokl., Vol 7, No 1, pp 118-120, (1967), (with V. Grushin).

14. On exterior elliptic problems, Second Bulgarian Math. Congress, 1967, pp 22-26 (in Russian).

13. The strong form of Huyghens' principle for a class of differential operators with constant coefficients, Trans. Moscow Math. Soc., Vol 16, pp 163-196, (1967), (with S. G. Gindikin).

12. Principles of radiation, limiting absorption and limiting amplitude in the general theory of partial differential equations, Russian Math. Surveys, Vol 21, No 3, pp 115-193, (1966).

11. Uniformly noncoercive problems for elliptic equations, Theses of short scientific reports at International Mathematical Congress, Section 7, Moscow 1966, pp 22, (with V. Grushin).

10. Radiation conditions for equations of high order and the generalized principle of limiting absorption, Proceedings of Third All-Union Symposium on Diffraction of Waves, 1964, pp 31-33, (in Russian).

9. Hypoelliptic equations in the whole space and the principle of limiting absorption, Soviet Math. Dokl., Vol 5, No 2, pp 317--320, (1964).

8. Correctly stated problems with the conditions in the infinity for the hypoelliptic operators defined in the whole space, Outlines of Joint Soviet-American Symposium on Partial Differential Equations, Novosibirsk (1963), Acad. Sci. USSR, Sibirean Branch, Publishers, Moscow, 1963, pp 361-368, (with V. Grushin).

7. Some problems for hypo-elliptic equations which are well-posed in the entire plane, Mat. Sbornik, Vol 62, No 2, pp 186--248, (1963), (in Russian).

6. On conditions of Sommerfeld type, Uspehi Mat. Nauk., Vol 18, No 2, pp 169-171, (1963), (in Russian).

5. On conditions of Sommerfeld type for elliptic operators of any order, Proceedings of Second All-Union Symposium on Diffraction of Waves, 1962, pp 39-41, (in Russian).

4. Asymptotic representation of fundamental solutions of hyperbolic equations, the problem extending throughout the whole space with conditions at infinity, Soviet Math. Dokl., Vol 3, No 4, pp 914-916, (1962).

3. Asymptotic behaviour of fundamental solutions of hyperbolic equations involving two variables and a problem with conditions imposed at infinity, Soviet Math. Dokl., Vol 3, No 3, pp 828-832, (1962).

2. The existence and uniqueness of a solution of certain elliptic equations over the whole plane, Soviet Math. Dokl., Vol 3, No 1, pp 5-7, (1962).

1. The asymptotic behaviour of Green's function for the Sobolev-Gal'pern equation, Soviet Math. Dokl., Vol 2, No 1, pp 147--150, (1961).