A. Comech

发表

Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl–Teller external potential

A. Khare, A. Saxena, Fred Cooper, 2017, 1705.07253.

Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry

A. Khare, A. Saxena, Fred Cooper, 2016, Journal of Physics A: Mathematical and Theoretical.

Solitary waves in the Nonlinear Dirac Equation

A. Saxena, P. Kevrekidis, J. Cuevas-Maraver, 2017, 1707.01946.

Solitary Waves of a $\mathcal {P}$ $\mathcal {T}$ -Symmetric Nonlinear Dirac Equation

C. Bender, A. Khare, A. Saxena, 2015, 1508.00852.

Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity

N. Boussaid, A. Comech, 2017, Journal of Functional Analysis.

Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models

N. Boussaid, A. Comech, 2017, 1711.05654.

On spectral stability of the nonlinear Dirac equation

N. Boussaid, A. Comech, 2012, 1211.3336.

Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg-de Vries Equation

D. Pelinovsky, A. Comech, S. Cuccagna, 2006, SIAM J. Math. Anal..

Optional regularity of fourier integral operators with one-sided folds

A. Comech, 2006, math/0609025.

Damping estimates for oscillatory integral operators with finite type singularities

A. Comech, 2006, math/0609145.

On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations

A. Comech, S. Cuccagna, 2018, Discrete & Continuous Dynamical Systems - A.

Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model.

A. Saxena, P. Kevrekidis, J. Cuevas-Maraver, 2015, Physical review letters.

Attractors of Hamiltonian Nonlinear Partial Differential Equations

A. Comech, A. Komech, E. Kopylova, 2021 .

Polarons as stable solitary wave solutions to the Dirac–Coulomb system

A. Comech, M. Zubkov, 2012, 1207.2870.

Nonrelativistic Asymptotics of Solitary Waves in the Dirac Equation with Soler-Type Nonlinearity

Nabile Boussaid, Andrew Comech, N. Boussaid, 2016, SIAM J. Math. Anal..

Estimates on level set integral operators in dimension two

S. Roudenko, A. Comech, 2005 .

Asymptotic stability of solitary waves in generalized Gross--Neveu model

A. Comech, A. Stefanov, T. Phan, 2014, 1407.0606.

A P ] 3 Ju l 2 01 4 Asymptotic stability of solitary waves in generalized Gross – Neveu model

A. Comech, A. Stefanov, T. Phan, 2014 .

Purely nonlinear instability of standing waves with minimal energy

Dmitry E. Pelinovsky, Andrew Comech, D. Pelinovsky, 2003 .

On linear instability of solitary waves for the nonlinear Dirac equation

S. Gustafson, A. Comech, M. Guan, 2012, 1209.1146.

Limiting absorption principle and virtual levels of operators in Banach spaces

N. Boussaid, A. Comech, 2021, Annales mathématiques du Québec.

Limiting absorption principle and virtual levels of operators in Banach spaces

N. Boussaid, A. Comech, 2021, Annales mathématiques du Québec.

Virtual levels and virtual states of linear operators in Banach spaces. Applications to Schroedinger operators

Nabile Boussaid, Andrew Comech, N. Boussaid, 2021, 2101.11979.

Mathematik in den Naturwissenschaften Leipzig Nonlinear instability of a critical traveling wave in the generalized Korteweg – de Vries equation

D. Pelinovsky, A. Comech, 2006 .

Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity

N. Boussaid, A. Comech, C. Cacciapuoti, 2020, 2006.03345.

Vakhitov–Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields

Gregory Berkolaiko, Andrew Comech, G. Berkolaiko, 2013, 1306.5150.

Symmetry and Dirac points in graphene spectrum

Gregory Berkolaiko, Andrew Comech, G. Berkolaiko, 2014, Journal of Spectral Theory.

Small amplitude solitary waves in the Dirac-Maxwell system

D. Stuart, A. Comech, 2012, 1210.7261.

Attractors of Hamiltonian nonlinear partial differential equations

A. Comech, A. Komech, E. Kopylova, 2022, 2212.14152.

Solutions with Compact Time Spectrum to Nonlinear Klein–Gordon and Schrödinger Equations and the Titchmarsh Theorem for Partial Convolution

A. Comech, 2018, Arnold Mathematical Journal.

On global attraction to solitary waves. Klein–Gordon equation with mean field interaction at several points

A. Comech, 2012 .

Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator

A. Comech, 2012, 1203.3233.

Nonlinear Dirac Equation

N. Boussaid, A. Comech, Nabile Boussaid, 2019 .

On Solutions with Compact Spectrum to Nonlinear Klein-Gordon and Schrödinger Equations

Andrew Comech, A. Comech, 2021, SIAM J. Math. Anal..

Mini-Workshop: Attraction to Solitary Waves and Related Aspects of Physics

B. Vainberg, A. Comech, A. Komech, 2008 .

Global Attraction to Solitary Waves

A. Comech, 2016 .

Global attraction to solitary waves in nonlinear dispersive Hamiltonian systems

A. Comech, A. Komech, V. Buslaev, 2008 .

On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator.

A. Comech, E. Kopylova, 2020, 2012.04413.

Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity

N. Boussaid, A. Comech, C. Cacciapuoti, 2020, Communications on Pure and Applied Analysis.

Orbital stability and spectral properties of solitary waves of Klein–Gordon equation with concentrated nonlinearity

A. Comech, E. Kopylova, 2021, Communications on Pure & Applied Analysis.

$L\sp p$-$L\sp q$ regularity of Fourier integral operators with caustics

A. Comech, 2006, math/0609024.

regularity of Fourier integral operators with caustics

A. Comech, 2004, math/0609024.

On the $L^p$ continuity of singular Fourier integral operators

A. Comech, S. Cuccagna, 2003 .

1 S ep 2 00 6 L p-L q regularity of Fourier integral operators with caustics

A. Comech, 2006 .

ON L CONTINUITY OF SINGULAR FOURIER INTEGRAL OPERATORS

A. Comech, S. Cuccagna, 2003 .

Integral Operators with Singular Canonical Relations

A. Comech, 1997 .

Oscillatory integral operators in scattering theory

A. Comech, 1997 .

On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D

G. Berkolaiko, A. Comech, 2009, 0910.0917.

Integral operators with two-sided cusp singularities

A. Comech, S. Cuccagna, 2000 .

L → L REGULARITY OF FOURIER INTEGRAL OPERATORS WITH CAUSTICS

A. Comech, 2004 .