On dispersive estimates for one-dimensional Klein-Gordon equations, Asymptotic Analysis. 127 (2022) n. 1-2, 1-13.

On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator, Comm. Pure Appl. Anal., 20 (2021), no. 6, 2187-2209.

On dispersion decay for 3D Klein-Gordon equation, Discrete and Continuous Dynamical Systems-A, 38 (2018) no. 11. 5765-5780.

On global attraction to stationary states for wave equations with concentrated nonlinearities, J. Dynamics and Differential Equations., 30, (2018), no. 1, pp 107--116.

On global attraction to solitary waves for the Klein -Gordon equation with concentrated nonlinearity, Nonlinearity, 30 (2017), no. 11, 4191-4207.

On the dispersion estimates for the one-dimensional Schroedinger and Klein-Gordon equations. Revizited. Russian Math. Surveys, 71 (2016), no. (429), 391-415.

On global well-posedness for Klein-Gordon equation with concentrated nonlinearity. J. Math. Anal. Appl., 443 (2016), no. 2, 1142-1157.

Dispersion estimates for one-dimensional discrete Dirac equations, J. Math. Anal. Appl., 434 (2016), no. 1, 191-208.

Dispersion estimates for one-dimensional discrete Schroedinger and wave equations, J. Spectr. Theory, 5 (2015), no. 4, 663-696.

On the eigenfunction expansion for Hamilton operators. J. Spectr. Theory 5 (2015), no. 2, 331–361

Weighted energy decay for magnetic Klein-Gordon equation. Appl. Anal. 94 (2015), no. 2, 219–233.

Limiting absorption principle for the 1D discrete Dirac equation. Russ. J. Math. Phys. 22 (2015), no. 1, 34–38

On dispersion decay for discrete wave equations. Commun. Math. Anal. 17 (2014), no. 2, 209–216.

On spectral resolution and eigenfunction expansion for Hamilton operators, p.11 in: 5 th St.Petersburg conference in Spectral Theory dedicated to the memory of M.Sh. Birman. Abstracts, St.Petersburg, Russia, 2013. Co-authored by A. Komech.

Асимптотическая устойчивость солитонов для нелинейных гиперболических уравнений, УМН, 68 (2013), вып. 2, 91-144 .

On nonlinear wave equations with parabolic potentials. Journal of Spectral Theory, 3 (2013), no.4, 485-503. ArXiv 1206.6073. Co-authored by A. Komech, S. Kopylov.

Dispersive estimates for 2D Dirac equation, Asymptotic Analysis, 84 (2013), 35-46.

Dispersive decay for the magnetic Schr"odinger equation, J. Funct. Analysis., 264 (2013), 735-751. ArXiv: 1204.1731. Co-authored by A. Komech.

On the spreading rate of the soliton perturbation for relativistic nonlinear wave equation, Comm. Math. Analysis, 4 (2013), no. 2, 95-102. Co-authored by A. Komech,Y. Karlovich, A. Merzon.

Dispersion estimates for magnetic Schroedinger and Klein-Gordon equations. Abstracts, 6-th European Congress of Mathematics. Krakow, Poland, 2012. Co-authored by A. Komech.

Dispersion estimates for magnetic Schr"odinger and Klein-Gordon equations. International Conference on Differential Equations and Dynamical Systems. Abstracts, Suzdal, Russia, 2012. Co-authored by A. Komech.

Dispersion estimates for magnetic Klein-Gordon equation. International Conference "Differential Equations and Application" in honour of Mark Vishik. Abstracts, Moscow, Russia, 2012.

On asymptotic stability of kinks for relativistic Ginzburg-Landau equation. Abstracts, International Workshop "Analysis, Operator Theory, and Mathematical Physics". Ixtapa, Mexico, 2012.

On long time decay for magnetic Schrödinger and Klein-Gordon equations, Proceedings of the Steklov Institute of Mathematics 278 (2012), 121-129.

On asymptotic stability of solitons in a nonlinear Schrödinger equation, Comm. Pure and Applied Analysis 11 (2012), no. 3, 1063-1079. ArXiv: 0807.1878. Co-authored by A. Komech, D. Stuart.

Dispersion Decay and Scattering Theory John Wiley & Sons, Hoboken, NJ, 2012. Co-authored by A. Komech.

On convergence to equilibrium distribution for Dirac equation, Markov Processes Relat. Fields 17 (2011), 523-540. ArXiv: 1201.6221. Co-authored by A. Komech.

On asymptotic stability of kink for relativistic Ginsburg-Landau equation, Arch. Rat. Mech. and Analysis, 202 (2011), no. 2, 213-245. ArXiv: 0910.5539. Co-authored by A. Komech.

On asymptotic stability of moving kink for relativistic Ginsburg-Landau equation, Comm. Math. Phys. 302 (2011), no. 1, 225-252. ArXiv: 0910.5538. Co-authored by A. Komech.

On asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 17-18 in: The third St.Petersburg Conference in Spectral Theory dedicated to the memory of M.Sh. Birman. Abstracts, St.Petersburg, Russia, 2011.

On asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 65-66 in: International Conference "Differential Equations and Related Topics" dedicated to I.G. Petrovskii. Abstracts, Moscow, Russia, 2011.

Weighted energy decay for 1D Dirac equation, Dynamics of PDE, 8 (2011) no.2, 113-125.

Scattering of solitons for Dirac equation coupled to a particle, J. Math. Anal. Appl., 383 (2011), 265-290. Co-authored by A. Komech, H. Spohn.

On long-time decay for modified Klein-Gordon equation, Comm. Math. Analysis, Conference 03, 137-152.

Asymptotic stability of kinks for relativistic Ginsburg-Landau equation, p. 399 in: International Congress of Mathematicians. Abstracts, Hyderabad, India, 2010.

On scattering of kinks for relativistic Ginsburg-Landau equation, p. 218-219 in: International Conference on Differential Equations and Dynamical Systems. Abstracts, Suzdal, Russia, 2010.

Dispersive long-time decay for Klein-Gordon equation, p. 89 in: The International Conference ``Modern Problems of Analysis and Mathematical Education"" dedicated to the 105-th anniversary acad. S.M. Nikol"skogo. Abstracts, Moscow, MSU, 2010. Co-authored by A. Komech.

On decay of the Schr"odinger resolvent, Proceedings of the Steklov Institute of Mathematics, 270 (2010), 165-171.

On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to nonlinear oscillator, Applicable Analysis, 89, (2010), no. 9, 1467-1493.

Dispersive estimates for the 2D wave equation, Russian J. Math. Phys., 17 (2010), no. 2, 226-239.

On dispersive decay for discrete 3D Schr"odinger and Klein-Gordon equations. St. Petersburg Math. J., 21 (2010), no. 5, 87-113.

On asymptotic Stability of kink for relativistic Ginsburg-Landau equation, 8-th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Abstracts, Dresden, Germany (2010) p.320.

Weighted Energy Decay for 1D Klein-Gordon Equation, Comm. PDE, 35 (2010), n.2, p.353-374, Co-authored by A. Komech

Dispersive estimates for the Schredinger and Klein-Gordon equation, Russian Mathematical Survey, 65 (2010), n.1, 95-142.

Long time decay for 2D Klein-Gordon equation, J. Func. Anal. 259} (2010), n.2, p.477-502, Co-authored by A. Komech

Weighted energy decay for 1D wave equation, Journal of Mathematical Analysis and Applications, 366 (2010), n.2, p.494-505

Дисперсионные оценки для уравнений Шредингера и Клейна-Гордона, Успехи мат наук, 65 (2010), n.1 , 97-144

Weighted energy decay for 3D wave equation, Asymptotic Analysis, 65 (2009), n.1-2, p.1-16

On asymptotic stability of kink for relativistic Ginsburg-Landau equation. XVI International Congress on Mathematical Physics. Abstracts, Prague (2009) p.30. Co-authored by A.Komech.

Dispersive estimates for discrete Schr"odinger and Klein-Gordon equation. The international conference "Modern problems of mathematics, mechanics and their applications" dedicated to the 70-th anniversary of rector MSU acad. V.A.Sadovnichy. Abstracts, Moscow, MSU, 2009, p.250.