Andrew Comech

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stable bi-frequency spinor modes as Dark Matter candidates	2025	Andrew Comech N. R. Kulkarni Nabile Boussaïd Jesús Cuevas–Maraver
+ PDF Chat	Virtual levels, virtual states, and the limiting absorption principle for higher order differential operators in 1D	2024	Andrew Comech Hatice Pekmez
+ PDF Chat	On spectral stability of one- and bi-frequency solitary waves in Soler model in (3+1)D	2024	Nabile Boussaïd Andrew Comech N. R. Kulkarni
+ PDF Chat	Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity	2023	Nabile Boussaïd Claudio Cacciapuoti Raffaele Carlone Andrew Comech Diego Noja Andrea Posilicano
+	Symposium in Honor of Professor Mark Vishik. Berlin, 2001	2023	Andrew Comech Alexander Komech M. M. Vishik
+	Partial Differential Equations and Functional Analysis	2023	Andrew Comech Alexander Komech M. M. Vishik
+	International Conference <<Partial Differential Equations and Applications>> in Honour of Mark Vishik on the Occasion of His 90th Birthday.Moscow, 2012	2023	Andrew Comech Alexander Komech M. M. Vishik
+	Attractors of Hamiltonian Nonlinear Partial Differential Equations	2023	Andrew Comech Alexander Komech Elena Kopylova
+	On Solutions with Compact Spectrum to Nonlinear Klein--Gordon and Schrödinger Equations	2022	Andrew Comech
+	Attractors of Hamiltonian nonlinear partial differential equations	2022	Andrew Comech Alexander Komech Elena Kopylova
+ PDF Chat	Limiting absorption principle and virtual levels of operators in Banach spaces	2021	Nabile Boussaïd Andrew Comech
+	Limiting absorption principle and virtual levels of operators in Banach spaces	2021	Nabile Boussaïd Andrew Comech
+	Virtual levels and virtual states of linear operators in Banach spaces. Applications to Schroedinger operators	2021	Nabile Boussaïd Andrew Comech
+ PDF Chat	Orbital stability and spectral properties of solitary waves of Klein–Gordon equation with concentrated nonlinearity	2021	Andrew Comech Elena Kopylova
+	On solutions with compact spectrum to nonlinear Klein--Gordon and Schroedinger equations	2021	Andrew Comech
+	Virtual levels and virtual states of linear operators in Banach spaces. Applications to Schroedinger operators	2021	Nabile Boussaïd Andrew Comech
+	Limiting absorption principle and virtual levels of operators in Banach spaces	2021	Nabile Boussaïd Andrew Comech
+	On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator	2020	Andrew Comech Elena Kopylova
+ PDF Chat	On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations	2020	Andrew Comech Scipio Cuccagna
+	On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator	2020	Andrew Comech Elena Kopylova
+	Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity	2020	Nabile Boussaïd Claudio Cacciapuoti Raffaele Carlone Andrew Comech Diego Noja Andrea Posilicano
+ PDF Chat	Distributions and function spaces	2019	Nabile BoussaÃ ̄d Andrew Comech
+	Nonlinear Dirac Equation: Spectral Stability of Solitary Waves	2019	Nabile Boussaïd Andrew Comech
+	Nonlinear Dirac Equation	2019	Nabile Boussaïd Andrew Comech
+	Spectral theory of nonselfadjoint operators	2019	Nabile BoussaÃ ̄d Andrew Comech
+	Carleman–Berthier–Georgescu estimates	2019	Nabile BoussaÃ ̄d Andrew Comech
+	Nonrelativistic asymptotics of solitary waves	2019	Nabile BoussaÃ ̄d Andrew Comech
+	Linear stability of NLS solitary waves	2019	Nabile BoussaÃ ̄d Andrew Comech
+	Solutions with Compact Time Spectrum to Nonlinear Klein–Gordon and Schrödinger Equations and the Titchmarsh Theorem for Partial Convolution	2019	Andrew Comech
+	Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity	2019	Nabile Boussaïd Andrew Comech
+ PDF Chat	Symmetry and Dirac points in graphene spectrum	2018	Gregory Berkolaiko Andrew Comech
+	On asymptotic stability of ground states of some systems of nonlinear Schr\"odinger equations	2018	Andrew Comech Scipio Cuccagna
+ PDF Chat	Solitary Waves in the Nonlinear Dirac Equation	2018	Jesús Cuevas–Maraver Nabile Boussaïd Andrew Comech Ruomeng Lan P. G. Kevrekidis Avadh Saxena
+	Solutions with compact time spectrum to nonlinear Klein--Gordon and Schroedinger equations and the Titchmarsh theorem for partial convolution	2018	Andrew Comech
+ PDF Chat	Small amplitude solitary waves in the Dirac-Maxwell system	2018	Andrew Comech David Stuart
+	On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations	2018	Andrew Comech Scipio Cuccagna
+	Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl–Teller external potential	2017	John F. Dawson Fred Cooper Avinash Khare Bogdan Mihaila E. Arévalo Ruomeng Lan Andrew Comech Avadh Saxena
+	Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity	2017	Nabile Boussaïd Andrew Comech
+ PDF Chat	Nonrelativistic Asymptotics of Solitary Waves in the Dirac Equation with Soler-Type Nonlinearity	2017	Nabile Boussaïd Andrew Comech
+	Spectral stability of bi-frequency solitary waves in Soler and Dirac--Klein--Gordon models	2017	Nabile Boussaïd Andrew Comech
+	Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity	2017	Nabile Boussaïd Andrew Comech
+	Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry	2016	Fred Cooper Avinash Khare Andrew Comech Bogdan Mihaila John F. Dawson Avadh Saxena
+ PDF Chat	On spectral stability of the nonlinear Dirac equation	2016	Nabile Boussaïd Andrew Comech
+ PDF Chat	Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model	2016	Jesús Cuevas–Maraver P. G. Kevrekidis Avadh Saxena Andrew Comech Ruomeng Lan
+	Asymptotic stability of solitary waves in generalized Gross–Neveu model	2015	Andrew Comech Tuoc Phan Atanas Stefanov
+ PDF Chat	Solitary Waves of a <inline-formula> <tex-math notation="LaTeX">$\mathcal {P}$</tex-math> </inline-formula><inline-formula> <tex-math notation="LaTeX">$\mathcal {T}$</tex-math> </inline-formula>-Symmetric Nonlinear Dirac Equation	2015	Jesús Cuevas–Maraver P. G. Kevrekidis Avadh Saxena Fred Cooper Avinash Khare Andrew Comech Carl M. Bender
+ PDF Chat	Vakhitov–Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2015	Gregory Berkolaiko Andrew Comech Alim Sukhtayev
+	Symmetry and Dirac points in graphene spectrum	2014	Gregory Berkolaiko Andrew Comech
+	Asymptotic stability of solitary waves in generalized Gross--Neveu model	2014	Andrew Comech Tuoc Phan Atanas Stefanov
+	Symmetry and Dirac points in graphene spectrum	2014	Gregory Berkolaiko Andrew Comech
+	Asymptotic stability of solitary waves in generalized Gross--Neveu model	2014	Andrew Comech Tuoc Phan Atanas Stefanov
+ PDF Chat	Polarons as stable solitary wave solutions to the Dirac–Coulomb system	2013	Andrew Comech M. A. Zubkov
+	Energy criterion of linear instability of solitary waves in models of classical self-interacting spinor fields	2013	Andrew Comech Gregory Berkolaiko Alim Sukhtayev
+	Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2013	Gregory Berkolaiko Andrew Comech Alim Sukhtayev
+	On linear instability of solitary waves for the nonlinear Dirac equation	2013	Meijiao Guan Andrew Comech Stephen J. Gustafson
+	Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator	2013	Andrew Comech
+	Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields	2013	Gregory Berkolaiko Andrew Comech Alim Sukhtayev
+	On spectral stability of the nonlinear Dirac equation	2012	Nabile Boussaïd Andrew Comech
+	Small amplitude solitary waves in the Dirac-Maxwell system	2012	Andrew Comech David Stuart
+	On linear instability of solitary waves for the nonlinear Dirac equation	2012	Andrew Comech Meijiao Guan Stephen J. Gustafson
+	Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator	2012	Andrew Comech
+	On global attraction to solitary waves. Klein–Gordon equation with mean field interaction at several points	2012	Andrew Comech
+	Linear instability of nonlinear Dirac equation in 1D with higher order nonlinearity	2012	Andrew Comech
+ PDF Chat	On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D	2012	Gregory Berkolaiko Andrew Comech
+	Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator	2012	Andrew Comech
+	Small amplitude solitary waves in the Dirac-Maxwell system	2012	Andrew Comech David Stuart
+	On spectral stability of the nonlinear Dirac equation	2012	Nabile Boussaïd Andrew Comech
+	On linear instability of solitary waves for the nonlinear Dirac equation	2012	Andrew Comech Meijiao Guan Stephen J. Gustafson
+ PDF Chat	Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time	2011	Andrew Comech Alexander Komech
+	On the Titchmarsh convolution theorem for distributions on the circle	2011	Andrew Comech Alexander Komech
+	On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation	2011	Andrew Comech
+	On the Titchmarsh convolution theorem for distributions on the circle	2011	Andrew Comech Alexander Komech
+	On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation	2011	Andrew Comech
+	Stability of solitary manifold near critical solitary wave	2009	Andrew Comech Scipio Cuccagna
+	Global attraction to solitary waves in nonlinear dispersive Hamiltonian systems	2008	V. S. Buslaev Andrew Comech Alexander Komech
+ PDF Chat	Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg–de Vries Equation	2007	Andrew Comech Scipio Cuccagna Dmitry E. Pelinovsky
+	$L\sp p$-$L\sp q$ regularity of Fourier integral operators with caustics	2006	Andrew Comech
+	Optimal regularity of Fourier integral operators with one-sided folds	2006	Andrew Comech
+	Damping estimates for oscillatory integral operators with finite type singularities	2006	Andrew Comech
+	Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation	2006	Andrew Comech Scipio Cuccagna Dmitry E. Pelinovsky
+	Estimates on level set integral operators in dimension two	2005	Andrew Comech Svetlana Roudenko
+ PDF Chat	Discrete peakons	2005	Andrew Comech Jesús Cuevas–Maraver P. G. Kevrekidis
+	𝐿^{𝑝}→𝐿^{𝑞} regularity of Fourier integral operators with caustics	2004	Andrew Comech
+	Purely nonlinear instability of standing waves with minimal energy	2003	Andrew Comech Dmitry E. Pelinovsky
+	On 𝐿^{𝑝} continuity of singular Fourier integral operators	2003	Andrew Comech Scipio Cuccagna
+	Type conditions and 𝐿^{𝑝}-𝐿^{𝑝}, 𝐿^{𝑝}-𝐿^{𝑝′} regularity of Fourier integral operators	2003	Andrew Comech
+	None	2000	Andrew Comech Scipio Cuccagna
+	Optional regularity of fourier integral operators with one-sided folds	1999	Andrew Comech
+	Sobolev estimates for the Radon transform of Melrose and Taylor	1998	Andrew Comech
+	Sobolev estimates for the Radon transform of Melrose and Taylor	1998	Andrew Comech
+	Sobolev estimates for the Radon transform of Melrose and Taylor	1998	Andrew Comech
+	Damping estimates for oscillatory integral operators with finite type singularities	1998	Andrew Comech
+	Oscillatory integral operators in scattering theory	1997	Andrew Comech

Common Coauthors

Coauthor	Papers Together
Nabile Boussaïd	20
Alexander Komech	9
Gregory Berkolaiko	8
Scipio Cuccagna	8
Nabile BoussaÃ ̄d	5
Elena Kopylova	5
Jesús Cuevas–Maraver	5
Alim Sukhtayev	4
P. G. Kevrekidis	4
Avadh Saxena	4
Fred Cooper	3
David Stuart	3
Stephen J. Gustafson	3
Dmitry E. Pelinovsky	3
Tuoc Phan	3
Ruomeng Lan	3
Atanas Stefanov	3
Avinash Khare	3
M. M. Vishik	3
Meijiao Guan	3
Andrea Posilicano	2
Claudio Cacciapuoti	2
N. R. Kulkarni	2
Diego Noja	2
John F. Dawson	2
Bogdan Mihaila	2
Raffaele Carlone	2
Hatice Pekmez	1
Avadh Saxena	1
V. S. Buslaev	1
E. Arévalo	1
M. A. Zubkov	1
Carl M. Bender	1
Svetlana Roudenko	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	19
+ PDF Chat	On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D	2012	Gregory Berkolaiko Andrew Comech	17
+ PDF Chat	Asymptotic stability of small gap solitons in nonlinear Dirac equations	2012	Dmitry E. Pelinovsky Atanas Stefanov	16
+ PDF Chat	On Stability of Standing Waves of Nonlinear Dirac Equations	2012	Nabile Boussaïd Scipio Cuccagna	16
+	Stationary solutions of the wave equation in a medium with nonlinearity saturation	1973	N. G. Vakhitov А. А. Колоколов	14
+ PDF Chat	Solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity	2010	Fred Cooper Avinash Khare Bogdan Mihaila Avadh Saxena	13
+	Spectral properties of Schrödinger operators and time-decay of the wave functions	1979	Arne Jensen Tosio Kato	12
+ PDF Chat	Existence of localized solutions for a classical nonlinear Dirac field	1986	Thierry Cazenave Luis Vázquez	12
+	On linear instability of solitary waves for the nonlinear Dirac equation	2013	Meijiao Guan Andrew Comech Stephen J. Gustafson	12
+ PDF Chat	Intensely Localized Solutions of the Classical Dirac-Maxwell Field Equations	1966	M. Wakano	11
+	Purely nonlinear instability of standing waves with minimal energy	2003	Andrew Comech Dmitry E. Pelinovsky	11
+ PDF Chat	Stable Directions for Small Nonlinear Dirac Standing Waves	2006	Nabile Boussaïd	11
+	Stability theory of solitary waves in the presence of symmetry, I	1987	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	11
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	11
+ PDF Chat	Stationary states of the nonlinear Dirac equation: A variational approach	1995	Maria J. Esteban Éric Séré	10
+	Modulational Stability of Ground States of Nonlinear Schrödinger Equations	1985	Michael I. Weinstein	10
+ PDF Chat	Orbital Stability of Dirac Solitons	2013	Dmitry E. Pelinovsky Yusuke Shimabukuro	10
+	Energetic Stability Criterion for a Nonlinear Spinorial Model	1983	A. Álvarez Mario Soler	10
+ PDF Chat	Global Attractor for a Nonlinear Oscillator Coupled to the Klein–Gordon Field	2006	Alexander Komech Andrew Komech	10
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander	9
+	A soluble relativistic field theory	1958	Walter Thirring	9
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions	9
+	L2 estimates for averaging operators along curves with two-sided k-fold singularities	1997	Scipio Cuccagna	9
+	Existence of stationary states for nonlinear Dirac equations	1988	Franck Merle	9
+	Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations	1996	Maria J. Esteban Vladimir Georgiev Éric Séré	9
+	The Zeros of Certain Integral Functions	1926	E. C. Titchmarsh	9
+ PDF Chat	Stable standing waves of nonlinear Klein-Gordon equations	1983	Jalal Shatah	8
+	Solitary waves for Maxwell-Dirac and Coulomb-Dirac models	1998	Simonetta Abenda	8
+ PDF Chat	Instability of nonlinear bound states	1985	Jalal Shatah Walter A. Strauss	8
+	The cauchy problem for the coupled maxwell and dirac equations	1966	Leonard Gross	8
+ PDF Chat	Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations	2012	Vladimir Georgiev Masahito Ohta	8
+ PDF Chat	<i>L</i><sup>2</sup>orbital stability of Dirac solitons in the massive Thirring model	2015	Andres Contreras Dmitry E. Pelinovsky Yusuke Shimabukuro	8
+	Stability under dilations of nonlinear spinor fields	1986	Walter A. Strauss Luis Vázquez	8
+	Stability of the minimum solitary wave of a nonlinear spinorial model	1986	A. Álvarez Mario Soler	8
+	Degenerate Fourier integral operators in the plane	1993	Andreas Seeger	8
+	The analysis of linear partial differential operators	1990	Lars Hörmander	7
+	On global attraction to solitary waves for the Klein–Gordon field coupled to several nonlinear oscillators	2009	Alexander Komech Andrew Komech	7
+ PDF Chat	Block-Diagonalization of the Symmetric First-Order Coupled-Mode System	2006	Marina Chugunova Dmitry E. Pelinovsky	7
+ PDF Chat	Fourier integral operators with fold singularities.	1994	Andreas Seeger Allan Greenleaf	7
+	Asymptotic stability of solitary waves in generalized Gross–Neveu model	2015	Andrew Comech Tuoc Phan Atanas Stefanov	7
+ PDF Chat	On spectral stability of the nonlinear Dirac equation	2016	Nabile Boussaïd Andrew Comech	7
+ PDF Chat	On the Asymptotic Stability of Small Nonlinear Dirac Standing Waves in a Resonant Case	2008	Nabile Boussaïd	7
+	Fourier integral operators with cusp singularities	1998	Allan Greenleaf Andreas Seeger	7
+ PDF Chat	Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation	2004	Shuji Machihara Makoto Nakamura Kenji Nakanishi Tohru Ozawa	7
+	A Semilinear Dirac Equation in<i>H<sup>s</sup></i>(<b>R</b><sup>3</sup>) for<i>s</i>> 1	1997	Miguel Escobedo Luis Vega	7
+ PDF Chat	Stability of Solitary Waves and Vortices in a 2D Nonlinear Dirac Model	2016	Jesús Cuevas–Maraver P. G. Kevrekidis Avadh Saxena Andrew Comech Ruomeng Lan	6
+	Models of Degenerate Fourier Integral Operators and Radon Transforms	1994	D. H. Phong E. M. Stein	6
+ PDF Chat	Existence and Newtonian limit of nonlinear bound states in the Einstein–Dirac system	2010	David Stuart	6
+	Quantum Theory of Fields and Elementary Particles	1957	W. Heisenberg	6
+	Edge Bifurcations for Near Integrable Systems via Evans Function Techniques	2002	Todd Kapitula Björn Sandstede	6