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:
171. On critical value of the coupling constant in exterior
elliptic problems, (with R. Puri), arXiv:1812.10132
170. Engineering coherent perfect absorption and lasing,
(with V. Konotop, E. Lakshtanov)
arXiv:1812.05499
169. Dispersive and effective properties of two-dimensional
periodic media, Proceedings of the Royal Society A, accepted, (with Yu. Godin) arXiv:1805.02636.
168. Population dynamics with moderate tails of the
underlying random walk, submitted (with S. Molchanov)
arXiv:1805.03133.
167. Global solution of the initial value problem for the
focusing Davey-Stewartson II system, submitted (with E. Lakshtanov), arXiv:1803.00955.
166. Solution of the initial value problem for the focusing
Davey-Stewartson II system, Differential equations,
mathematical physics, and applications. Selim Grigorievich Krein Centennial,
Contemp. Math., Amer. Math. Soc., Providence, RI, 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 70th 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).