Edit Profile (opens in new tab) Comech, Andrew Compute Distance To: Compute Author ID: comech.andrew Published as: Comech, Andrew; Komech, Andrew; Comech, A.; Komech, A. A.; Komech, Andrew A. Documents Indexed: 47 Publications since 1997, including 2 Books 1 Contribution as Editor Co-Authors: 39 Co-Authors with 36 Joint Publications 1,262 Co-Co-Authors all top 5 Co-Authors 12 single-authored 12 Komech, Alexander Ilich 5 Boussaid, Nabile 4 Cuccagna, Scipio 3 Berkolaiko, Gregory 2 Cooper, Fred 2 Dawson, John F. 2 Khare, Avinash 2 Mihaila, Bogdan 2 Pelinovsky, Dmitry Efimovich 2 Saxena, Avadh Behari 1 Agranovich, Mikhail Semënovich 1 Aĭzenberg, Lev Abramovich 1 Alfimov, Georgiĭ Leonidovich 1 Arévalo, Edward 1 Boussïd, Nabile 1 Buslaev, Vladimir Savel’evich 1 Cuevas Maraver, Jesús 1 Guan, Meijiao 1 Gustafson, Stephen J. 1 Karabegov, Alexander V. 1 Karasev, Mikhail Vladimirovich 1 Kevrekidis, Panayotis G. 1 Kopylova, Elena A. 1 Lan, Ruomeng 1 Maslov, Viktor Pavlovich 1 Phan, Tuoc Van 1 Pukhnachov, Vladislav Vasil’evich 1 Roudenko, Svetlana 1 Shubin, Mikhail Aleksandrovich 1 Stefanov, Atanas G. 1 Stuart, David M. A. 1 Sukhtayev, Alim 1 Tamarkin, Dmitry E. 1 Tarkhanov, Nikolai N. 1 Tsygan, B. L. 1 Vaĭnberg, Boris Rufimovich 1 Vishik, Marko Iosifovich 1 Voronov, Theodore 1 Zubkov, Mikhail A. all top 5 Serials 4 SIAM Journal on Mathematical Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Communications on Pure and Applied Analysis 3 Journal of Physics A: Mathematical and Theoretical 2 Communications on Pure and Applied Mathematics 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Russian Journal of Mathematical Physics 2 Discrete and Continuous Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 Nonlinearity 1 Russian Mathematical Surveys 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Physica D 1 Asymptotic Analysis 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematical Surveys and Monographs 1 Communications in Mathematical Analysis 1 Mathematical Modelling of Natural Phenomena 1 Journal of Spectral Theory 1 Annales Mathématiques du Québec 1 Arnold Mathematical Journal 1 Problem Books in Mathematics all top 5 Fields 43 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Quantum theory (81-XX) 6 Operator theory (47-XX) 4 Functional analysis (46-XX) 3 Integral transforms, operational calculus (44-XX) 3 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 299 times in 152 Documents Cited by ▼ Year ▼ Purely nonlinear instability of standing waves with minimal energy. Zbl 1072.35165Comech, Andrew; Pelinovsky, Dmitry 34 2003 Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022Komech, Alexander; Komech, Andrew 21 2010 Symmetry and Dirac points in graphene spectrum. Zbl 1411.35092Berkolaiko, Gregory; Comech, Andrew 20 2018 On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117Berkolaiko, G.; Comech, A. 20 2012 Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003Komech, Alexander; Komech, Andrew 19 2007 On spectral stability of the nonlinear Dirac equation. Zbl 1457.35046Boussaïd, Nabile; Comech, Andrew 19 2016 Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201Komech, Alexander; Komech, Andrew 17 2009 Asymptotic stability of solitary waves in generalized Gross-Neveu model. Zbl 1357.35083Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas 13 2017 Optimal regularity of Fourier integral operators with one-sided folds. Zbl 0933.35202Comech, Andrew 12 1999 On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124Komech, Alexander; Komech, Andrew 12 2010 On linear instability of solitary waves for the nonlinear Dirac equation. Zbl 1297.35029Comech, Andrew; Guan, Meijiao; Gustafson, Stephen 11 2014 Nonrelativistic asymptotics of solitary waves in the Dirac equation with Soler-type nonlinearity. Zbl 1375.35427Boussaïd, Nabile; Comech, Andrew 10 2017 Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields. Zbl 1309.35099Berkolaiko, Gregory; Comech, Andrew; Sukhtayev, Alim 9 2015 On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. Zbl 1096.35020Komech, Alexander I.; Komech, Andrew A. 8 2006 Nonlinear Dirac equation. Spectral stability of solitary waves. Zbl 1442.35001Boussaïd, Nabile; Comech, Andrew 7 2019 Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation. Zbl 1136.35077Comech, Andrew; Cuccagna, Scipio; Pelinovsky, Dmitry E. 6 2007 Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator. Zbl 1277.39010Comech, Andrew 6 2013 Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models. Zbl 1393.35196Boussïd, Nabile; Comech, Andrew 5 2018 Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092Komech, A. I.; Komech, A. A. 5 2007 On global attraction to solitary waves. Klein-Gordon equation with mean field interaction at several points. Zbl 1298.35017Comech, Andrew 5 2012 Integral operators with two-sided cusp singularities. Zbl 0973.35206Comech, Andrew; Cuccagna, Scipio 4 2000 Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008Komech, Alexander I.; Komech, Andrew A. 4 2008 Integral operators with singular canonical relations. Zbl 0929.43001Comech, Andrew 3 1997 Discrete peakons. Zbl 1080.35137Comech, A.; Cuevas, J.; Kevrekidis, P. G. 3 2005 Damping estimates for oscillatory integral operators with finite type singularities. Zbl 0936.35212Comech, Andrew 3 1998 Oscillatory integral operators in scattering theory. Zbl 0883.35142Comech, Andrew 3 1997 Principles of partial differential equations. Zbl 1275.35001Komech, Alexander; Komech, Andrew 3 2009 Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution. Zbl 1433.37067Comech, Andrew 3 2019 On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037Komech, A. A.; Komech, A. I. 3 2013 Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity. Zbl 1426.35026Boussaïd, Nabile; Comech, Andrew 3 2019 Small amplitude solitary waves in the Dirac-Maxwell system. Zbl 1394.35109Comech, Andrew; Stuart, David 2 2018 Sobolev estimates for the Radon transform of Melrose and Taylor. Zbl 0935.44002Comech, Andrew 1 1998 On \(L^p\) continuity of singular Fourier integral operators. Zbl 1107.35107Comech, Andrew; Cuccagna, Scipio 1 2003 Global attraction to solitary waves. Zbl 1339.35054Comech, Andrew 1 2016 Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time. Zbl 1326.35334Comech, A.; Komech, A. 1 2011 Polarons as stable solitary wave solutions to the Dirac-Coulomb system. Zbl 1276.81093Comech, Andrew; Zubkov, Mikhail 1 2013 On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321Comech, Andrew; Cuccagna, Scipio 1 2021 On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Zbl 1460.35321Comech, Andrew; Cuccagna, Scipio 1 2021 Nonlinear Dirac equation. Spectral stability of solitary waves. Zbl 1442.35001Boussaïd, Nabile; Comech, Andrew 7 2019 Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution. Zbl 1433.37067Comech, Andrew 3 2019 Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity. Zbl 1426.35026Boussaïd, Nabile; Comech, Andrew 3 2019 Symmetry and Dirac points in graphene spectrum. Zbl 1411.35092Berkolaiko, Gregory; Comech, Andrew 20 2018 Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models. Zbl 1393.35196Boussïd, Nabile; Comech, Andrew 5 2018 Small amplitude solitary waves in the Dirac-Maxwell system. Zbl 1394.35109Comech, Andrew; Stuart, David 2 2018 Asymptotic stability of solitary waves in generalized Gross-Neveu model. Zbl 1357.35083Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas 13 2017 Nonrelativistic asymptotics of solitary waves in the Dirac equation with Soler-type nonlinearity. Zbl 1375.35427Boussaïd, Nabile; Comech, Andrew 10 2017 On spectral stability of the nonlinear Dirac equation. Zbl 1457.35046Boussaïd, Nabile; Comech, Andrew 19 2016 Global attraction to solitary waves. Zbl 1339.35054Comech, Andrew 1 2016 Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields. Zbl 1309.35099Berkolaiko, Gregory; Comech, Andrew; Sukhtayev, Alim 9 2015 On linear instability of solitary waves for the nonlinear Dirac equation. Zbl 1297.35029Comech, Andrew; Guan, Meijiao; Gustafson, Stephen 11 2014 Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator. Zbl 1277.39010Comech, Andrew 6 2013 On the Titchmarsh convolution theorem for distributions on the circle. Zbl 1296.46037Komech, A. A.; Komech, A. I. 3 2013 Polarons as stable solitary wave solutions to the Dirac-Coulomb system. Zbl 1276.81093Comech, Andrew; Zubkov, Mikhail 1 2013 On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117Berkolaiko, G.; Comech, A. 20 2012 On global attraction to solitary waves. Klein-Gordon equation with mean field interaction at several points. Zbl 1298.35017Comech, Andrew 5 2012 Well-posedness and the energy and charge conservation for nonlinear wave equations in discrete space-time. Zbl 1326.35334Comech, A.; Komech, A. 1 2011 Global attraction to solitary waves for a nonlinear Dirac equation with mean field interaction. Zbl 1237.35022Komech, Alexander; Komech, Andrew 21 2010 On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators. Zbl 1180.35124Komech, Alexander; Komech, Andrew 12 2010 Global attraction to solitary waves for Klein-Gordon equation with mean field interaction. Zbl 1177.35201Komech, Alexander; Komech, Andrew 17 2009 Principles of partial differential equations. Zbl 1275.35001Komech, Alexander; Komech, Andrew 3 2009 Global attraction to solitary waves in models based on the Klein-Gordon equation. Zbl 1137.35008Komech, Alexander I.; Komech, Andrew A. 4 2008 Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field. Zbl 1131.35003Komech, Alexander; Komech, Andrew 19 2007 Nonlinear instability of a critical traveling wave in the generalized Korteweg-de Vries equation. Zbl 1136.35077Comech, Andrew; Cuccagna, Scipio; Pelinovsky, Dmitry E. 6 2007 Global well-posedness for the Schrödinger equation coupled to a nonlinear oscillator. Zbl 1125.35092Komech, A. I.; Komech, A. A. 5 2007 On the global attraction to solitary waves for the Klein-Gordon equation coupled to a nonlinear oscillator. Zbl 1096.35020Komech, Alexander I.; Komech, Andrew A. 8 2006 Discrete peakons. Zbl 1080.35137Comech, A.; Cuevas, J.; Kevrekidis, P. G. 3 2005 Purely nonlinear instability of standing waves with minimal energy. Zbl 1072.35165Comech, Andrew; Pelinovsky, Dmitry 34 2003 On \(L^p\) continuity of singular Fourier integral operators. Zbl 1107.35107Comech, Andrew; Cuccagna, Scipio 1 2003 Integral operators with two-sided cusp singularities. Zbl 0973.35206Comech, Andrew; Cuccagna, Scipio 4 2000 Optimal regularity of Fourier integral operators with one-sided folds. Zbl 0933.35202Comech, Andrew 12 1999 Damping estimates for oscillatory integral operators with finite type singularities. Zbl 0936.35212Comech, Andrew 3 1998 Sobolev estimates for the Radon transform of Melrose and Taylor. Zbl 0935.44002Comech, Andrew 1 1998 Integral operators with singular canonical relations. Zbl 0929.43001Comech, Andrew 3 1997 Oscillatory integral operators in scattering theory. Zbl 0883.35142Comech, Andrew 3 1997 all cited Publications top 5 cited Publications all top 5 Cited by 156 Authors 21 Comech, Andrew 11 Komech, Alexander Ilich 10 Kopylova, Elena A. 9 Cuccagna, Scipio 7 Maeda, Masaya 7 Pelinovsky, Dmitry Efimovich 7 Weinstein, Michael I. 6 Erdoğan, Mehmet Burak 6 Green, William R. 5 Boussaid, Nabile 4 Drouot, Alexis 4 Marzuola, Jeremy L. 4 Noja, Diego 4 Ohta, Masahito 3 Berkolaiko, Gregory 3 Borrelli, William 3 Cacciapuoti, Claudio 3 Düster, Alexander 3 Fefferman, Charles Louis 3 Huh, Hyungjin 3 Lakoba, Taras I. 3 Li, Jiyong 3 Pramanik, Malabika 3 Shao, Sihong 3 Shimabukuro, Yusuke 3 Simpson, Gideon 3 Stefanov, Atanas G. 2 Bao, Weizhu 2 Bentsen, Geoffrey 2 Cai, Yongyong 2 Carlone, Raffaele 2 Deng, Qingquan 2 Erbts, Patrick 2 Finco, Domenico 2 Fukuizumi, Reika 2 Goldberg, Michael Joseph 2 Greenleaf, Allan 2 Laghi, Norberto 2 Lee-Thorp, James P. 2 Schlag, Wilhelm 2 Seeger, Andreas 2 Soffer, Avraham 2 Stuart, David M. A. 2 Teta, Alessandro 2 Yamazaki, Yohei 2 Yao, Xiaohua 2 Yin, Jia 1 Adami, Riccardo 1 Al-Shudeifat, Mohammad A. 1 Alejo, Miguel A. 1 Alhaidari, Abdulaziz D. 1 Austin Ford, G. 1 Band, Ram 1 Behrndt, Jussi 1 Bishop, Alan Reginald 1 Blair, Matthew D. 1 Boussïd, Nabile 1 Buslaev, Vladimir Savel’evich 1 Cao, Liqun 1 Cassano, Biagio 1 Cassier, Maxence 1 Choi, Woocheol 1 Chou, Tom 1 Chow, Kwok Wing 1 Contreras, Andres A. 1 Cooper, Fred 1 de la Llave, Rafael 1 Fečkan, Michal 1 Felea, Raluca 1 Fillman, Jake 1 Fisher, Lee 1 Fontich, Ernest 1 Frank, Rupert L. 1 Fu, Yaoyao 1 Fukaya, Noriyoshi 1 Gang, Zhou 1 Gao, Jin 1 Gesztesy, Fritz 1 Guan, Meijiao 1 Gustafson, Stephen J. 1 Han, Lijia 1 Han, Rui 1 Hartmann, Stefan 1 Hasan, M. Arif 1 Hassell, Andrew 1 Herr, Sebastian 1 Hong, Younghun 1 Hu, Rui 1 Jia, Xiaowei 1 Kairzhan, Adilbek 1 Keller, Rachael T. 1 Kha, Minh 1 König, Marcel 1 Krieger, Joachim 1 Kuchment, Peter A. 1 Kunze, Markus 1 Lee, Minjae 1 Li, Xianggui 1 Lin, Zhiwu 1 Liu, Fei Justina ...and 56 more Authors all top 5 Cited in 75 Serials 8 Communications in Mathematical Physics 8 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Letters in Mathematical Physics 6 Journal of Functional Analysis 6 The Journal of Geometric Analysis 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Discrete and Continuous Dynamical Systems 4 Transactions of the American Mathematical Society 4 Communications in Partial Differential Equations 4 Journal of Nonlinear Science 4 Communications on Pure and Applied Analysis 3 Applicable Analysis 3 Journal of Mathematical Physics 3 Physica D 3 Multiscale Modeling & Simulation 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Numerical Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Russian Journal of Mathematical Physics 2 Communications in Contemporary Mathematics 2 Journal of Spectral Theory 2 Annales Mathématiques du Québec 1 Archive for Rational Mechanics and Analysis 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Meccanica 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Archive of Applied Mechanics 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Dynamical Systems 1 Analysis in Theory and Applications 1 Boundary Value Problems 1 Communications in Mathematical Analysis 1 Acta Mechanica Sinica 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Annals of PDE 1 Arnold Mathematical Journal 1 Pure and Applied Analysis all top 5 Cited in 27 Fields 132 Partial differential equations (35-XX) 42 Quantum theory (81-XX) 27 Dynamical systems and ergodic theory (37-XX) 15 Operator theory (47-XX) 15 Numerical analysis (65-XX) 13 Statistical mechanics, structure of matter (82-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 6 Ordinary differential equations (34-XX) 6 Functional analysis (46-XX) 5 Integral transforms, operational calculus (44-XX) 3 Combinatorics (05-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 \(K\)-theory (19-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year