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,

**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

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., *

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,

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