Edit Profile (opens in new tab) Soffer, Avraham Compute Distance To: Compute Author ID: soffer.avraham Published as: Soffer, Avy; Soffer, A.; Soffer, Avraham Documents Indexed: 91 Publications since 1983 1 Contribution as Editor Co-Authors: 59 Co-Authors with 85 Joint Publications 1,184 Co-Co-Authors all top 5 Co-Authors 7 single-authored 10 Sigal, Israel Michael 9 Weinstein, Michael I. 7 Fishman, Shmuel 6 Lindblad, Hans 5 Beceanu, Marius 5 Krivolapov, Yevgeny 5 Schlag, Wilhelm 4 Blue, Pieter 4 Deng, Qingquan 4 Yao, Xiaohua 3 Fröhlich, Jürg Martin 3 Pickl, Peter 3 Stucchio, Chris 3 Tran, Minh-Binh 3 Zhao, Xiaofei 2 Boßmann, Lea 2 Dodson, Benjamin G. 2 Donninger, Roland 2 Feng, Hongliang 2 Gang, Zhou 2 Georgescu, Vladimir 2 Journé, Jean-Lin 2 Krueger, August J. 2 Lührmann, Jonas 2 Petrat, Sören 2 Sogge, Christopher D. 2 Staubach, Wolfgang 1 An, Xinliang 1 Arbunich, Jack 1 Bach, Volker 1 Bona, Jerry Lloyd 1 Boutet de Monvel, Anne Marie 1 Carlen, Eric Anders 1 Chen, Geng 1 Chen, Thomas M. 1 Costin, Ovidiu 1 Dekel, G. 1 Farberovich, O. V. 1 Fleurov, V. 1 Ginibre, Jean 1 Grenier, Emmanuel 1 Horwitz, Lawrence Paul 1 Huang, Shanlin 1 Łaba, Izabella 1 Larenas, Manuel 1 Nguyen, Toan Trong 1 Nier, Francis 1 Pavlović, Nataša 1 Phan, Tuoc Van 1 Pusateri, Fabio 1 Rivkind, Alexander 1 Rodnianski, Igor 1 Rousset, Frédéric 1 Velo, Giorgio 1 Wang, Wei-Min 1 Wu, Zhao 1 Xiao, Jianguo 1 Zheng, Shijun 1 Zielinski, Lech all top 5 Serials 8 Communications in Mathematical Physics 7 Journal of Functional Analysis 6 Journal of Mathematical Physics 6 Letters in Mathematical Physics 4 Journal of Statistical Physics 4 Nonlinearity 4 Transactions of the American Mathematical Society 4 Communications in Partial Differential Equations 3 Communications on Pure and Applied Mathematics 3 Advances in Mathematics 3 SIAM Journal on Mathematical Analysis 3 Annales Henri Poincaré 2 Reviews in Mathematical Physics 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Physica D 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Physics A: Mathematical and Theoretical 1 Archive for Rational Mechanics and Analysis 1 Helvetica Physica Acta 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 New Journal of Physics 1 Annals of Mathematics. Second Series 1 Journal of Hyperbolic Differential Equations 1 Contemporary Mathematics 1 Pure and Applied Analysis all top 5 Fields 79 Partial differential equations (35-XX) 37 Quantum theory (81-XX) 16 Operator theory (47-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Numerical analysis (65-XX) 6 Relativity and gravitational theory (83-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 1,434 times in 812 Documents Cited by ▼ Year ▼ Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107Soffer, A.; Weinstein, M. I. 119 1999 Decay estimates for Schrödinger operators. Zbl 0743.35008Journé, J.-L.; Soffer, A.; Sogge, C. D. 114 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 112 1990 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 96 1992 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009Sigal, I. M.; Soffer, A. 91 1987 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054Ginibre, J.; Soffer, A.; Velo, G. 70 1992 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 59 2004 Dispersive analysis of charge transfer models. Zbl 1130.81053Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 45 2005 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033Blue, P.; Soffer, A. 43 2003 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 43 2012 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 Time dependent resonance theory. Zbl 0917.35023Soffer, A.; Weinstein, M. I. 33 1998 Minimal escape velocities. Zbl 0944.35014Hunziker, W.; Sigal, I. M.; Soffer, A. 32 1999 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197Sigal, I. M.; Soffer, A. 30 1990 A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072Lindblad, Hans; Soffer, Avy 29 2005 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 29 2011 The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. Zbl 1076.58020Blue, P.; Soffer, A. 28 2005 Phase space analysis on some black hole manifolds. Zbl 1158.83007Blue, P.; Soffer, A. 26 2009 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024Carlen, E. A.; Soffer, A. 23 1991 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 22 2010 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044Lindblad, Hans; Soffer, Avy 20 2005 Resonance theory for Schrödinger operators. Zbl 0992.81025Costin, O.; Soffer, A. 19 2001 Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. Zbl 0976.58019Łaba, I.; Soffer, A. 16 1999 \(N\)-body Hamiltonians with hard-core interactions. Zbl 0818.35094Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer, Avy 14 1994 Soliton dynamics and scattering. Zbl 1111.35054Soffer, Avy 14 2006 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 14 2010 Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099Lindblad, Hans; Soffer, Avy 13 2006 Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201Lindblad, Hans; Soffer, Avy 13 2015 On the dynamics of finite temperature trapped Bose gases. Zbl 1386.82035Soffer, Avy; Tran, Minh-Binh 12 2018 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 12 2020 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091Sigal, I. M.; Soffer, A. 11 1994 Nonautonomous Hamiltonians. Zbl 0936.35148Soffer, A.; Weinstein, M. I. 10 1998 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010Sigal, I. M.; Soffer, A. 10 1993 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 9 2012 The nonlinear Schrödinger equation with a random potential: results and puzzles. Zbl 1236.35166Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 9 2012 A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. Zbl 1137.58011Blue, Pieter; Soffer, Avy 9 2007 Perturbation theory for the nonlinear Schrödinger equation with a random potential. Zbl 1204.37074Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 8 2009 Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. Zbl 1379.58013Feng, Hongliang; Soffer, Avy; Yao, Xiaohua 8 2018 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074Soffer, A.; Weinstein, M. I. 7 1989 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Higher order corrections to the mean-field description of the dynamics of interacting bosons. Zbl 1439.82029Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy 7 2020 On coupling kinetic and Schrödinger equations. Zbl 1394.82012Soffer, Avy; Tran, Minh-Binh 7 2018 Some Hamiltonian models of friction. Zbl 1272.70067Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 6 2011 Open boundaries for the nonlinear Schrödinger equation. Zbl 1122.65094Soffer, A.; Stucchio, C. 6 2007 On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. Zbl 1149.82027Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 6 2008 Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017Nier, F.; Soffer, A. 5 2003 Large outgoing solutions to supercritical wave equations. Zbl 1415.35199Beceanu, Marius; Soffer, Avy 5 2018 Decay estimates for higher-order elliptic operators. Zbl 1440.35054Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua 5 2020 Abstract theory of pointwise decay with applications to wave and Schrödinger equations. Zbl 1367.47029Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy 5 2016 Anderson localization for time periodic Schrödinger operators. Zbl 1028.81018Soffer, Avy; Wang, Wei-Min 4 2003 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038Miller, P. D.; Soffer, A.; Weinstein, M. I. 4 2000 Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. Zbl 1345.81067Krueger, August J.; Soffer, Avy 4 2016 Structure of noncommutative solitons: existence and spectral theory. Zbl 1327.35328Krueger, August J.; Soffer, Avy 4 2015 Completeness of wave operators in relativistic quantum mechanics. Zbl 0571.47010Soffer, A. 3 1984 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011Journé, J. L.; Soffer, A.; Sogge, C. D. 3 1990 The Schrödinger equation with a potential in rough motion. Zbl 1245.35099Beceanu, Marius; Soffer, Avy 3 2012 Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). Zbl 1428.35500Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 3 2018 Multiscale resolution of shortwave-longwave interaction. Zbl 1155.65084Stucchio, Chris; Soffer, Avy 3 2009 Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 3 2020 The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 3 2020 Derivation of the Bogoliubov time evolution for a large volume mean-field limit. Zbl 1435.35322Petrat, Sören; Pickl, Peter; Soffer, Avy 3 2020 Mean field dynamics of a quantum tracer particle interacting with a boson gas. Zbl 1414.82026Chen, Thomas; Soffer, Avy 2 2019 Asymptotic completeness of short-range many-body systems. Zbl 0597.35026Sigal, I. M.; Soffer, A. 2 1986 Endpoint Strichartz estimates for charge transfer Hamiltonians. Zbl 1412.35281Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 2 2018 \(B^*\)-algebra representations in a quaternionic Hilbert module. Zbl 0546.46063Soffer, A.; Horwitz, L. P. 2 1983 Ionization and scattering for short-lived potentials. Zbl 0930.35113Soffer, A.; Weinstein, M. I. 2 1999 Asymptotic completeness of multiparticle scattering. Zbl 0651.35071Sigal, I. M.; Soffer, A. 2 1987 Multiscale time averaging, reloaded. Zbl 1310.34051Fishman, Shmuel; Soffer, Avy 2 2014 Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. Zbl 1472.35324Huang, Shanlin; Soffer, Avy 2 2021 Nonlinear dynamic phenomena in macroscopic tunneling. Zbl 1167.82325Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. 2 2009 Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. Zbl 1431.35145An, Xinliang; Soffer, Avy 2 2020 Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005 1 2019 On the many body problem in quantum mechanics. Zbl 0809.47009Soffer, Avy 1 1992 On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209Soffer, Avy; Zhao, Xiaofei 1 2015 Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 1 2021 On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. Zbl 1450.45009Soffer, Avy; Tran, Minh-Binh 1 2020 Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. Zbl 1462.35346Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 1 2021 Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. Zbl 1176.65116Soffer, Avy; Stucchio, Chris 1 2009 A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341Soffer, Avy; Zhao, Xiaofei 1 2016 Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. Zbl 1348.81227Fishman, S.; Soffer, A. 1 2016 Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. Zbl 1472.35324Huang, Shanlin; Soffer, Avy 2 2021 Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 1 2021 Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. Zbl 1462.35346Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 1 2021 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 12 2020 Higher order corrections to the mean-field description of the dynamics of interacting bosons. Zbl 1439.82029Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy 7 2020 Decay estimates for higher-order elliptic operators. Zbl 1440.35054Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua 5 2020 Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 3 2020 The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 3 2020 Derivation of the Bogoliubov time evolution for a large volume mean-field limit. Zbl 1435.35322Petrat, Sören; Pickl, Peter; Soffer, Avy 3 2020 Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. Zbl 1431.35145An, Xinliang; Soffer, Avy 2 2020 On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. Zbl 1450.45009Soffer, Avy; Tran, Minh-Binh 1 2020 Mean field dynamics of a quantum tracer particle interacting with a boson gas. Zbl 1414.82026Chen, Thomas; Soffer, Avy 2 2019 Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005 1 2019 On the dynamics of finite temperature trapped Bose gases. Zbl 1386.82035Soffer, Avy; Tran, Minh-Binh 12 2018 Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. Zbl 1379.58013Feng, Hongliang; Soffer, Avy; Yao, Xiaohua 8 2018 On coupling kinetic and Schrödinger equations. Zbl 1394.82012Soffer, Avy; Tran, Minh-Binh 7 2018 Large outgoing solutions to supercritical wave equations. Zbl 1415.35199Beceanu, Marius; Soffer, Avy 5 2018 Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). Zbl 1428.35500Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 3 2018 Endpoint Strichartz estimates for charge transfer Hamiltonians. Zbl 1412.35281Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 2 2018 Abstract theory of pointwise decay with applications to wave and Schrödinger equations. Zbl 1367.47029Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy 5 2016 Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. Zbl 1345.81067Krueger, August J.; Soffer, Avy 4 2016 A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341Soffer, Avy; Zhao, Xiaofei 1 2016 Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. Zbl 1348.81227Fishman, S.; Soffer, A. 1 2016 Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201Lindblad, Hans; Soffer, Avy 13 2015 Structure of noncommutative solitons: existence and spectral theory. Zbl 1327.35328Krueger, August J.; Soffer, Avy 4 2015 On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209Soffer, Avy; Zhao, Xiaofei 1 2015 Multiscale time averaging, reloaded. Zbl 1310.34051Fishman, Shmuel; Soffer, Avy 2 2014 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 43 2012 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 9 2012 The nonlinear Schrödinger equation with a random potential: results and puzzles. Zbl 1236.35166Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 9 2012 The Schrödinger equation with a potential in rough motion. Zbl 1245.35099Beceanu, Marius; Soffer, Avy 3 2012 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 29 2011 Some Hamiltonian models of friction. Zbl 1272.70067Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 6 2011 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 22 2010 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 14 2010 Phase space analysis on some black hole manifolds. Zbl 1158.83007Blue, P.; Soffer, A. 26 2009 Perturbation theory for the nonlinear Schrödinger equation with a random potential. Zbl 1204.37074Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 8 2009 Multiscale resolution of shortwave-longwave interaction. Zbl 1155.65084Stucchio, Chris; Soffer, Avy 3 2009 Nonlinear dynamic phenomena in macroscopic tunneling. Zbl 1167.82325Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. 2 2009 Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. Zbl 1176.65116Soffer, Avy; Stucchio, Chris 1 2009 On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. Zbl 1149.82027Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 6 2008 A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. Zbl 1137.58011Blue, Pieter; Soffer, Avy 9 2007 Open boundaries for the nonlinear Schrödinger equation. Zbl 1122.65094Soffer, A.; Stucchio, C. 6 2007 Soliton dynamics and scattering. Zbl 1111.35054Soffer, Avy 14 2006 Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099Lindblad, Hans; Soffer, Avy 13 2006 Dispersive analysis of charge transfer models. Zbl 1130.81053Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 45 2005 A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072Lindblad, Hans; Soffer, Avy 29 2005 The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. Zbl 1076.58020Blue, P.; Soffer, A. 28 2005 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044Lindblad, Hans; Soffer, Avy 20 2005 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 59 2004 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033Blue, P.; Soffer, A. 43 2003 Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017Nier, F.; Soffer, A. 5 2003 Anderson localization for time periodic Schrödinger operators. Zbl 1028.81018Soffer, Avy; Wang, Wei-Min 4 2003 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Resonance theory for Schrödinger operators. Zbl 0992.81025Costin, O.; Soffer, A. 19 2001 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038Miller, P. D.; Soffer, A.; Weinstein, M. I. 4 2000 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107Soffer, A.; Weinstein, M. I. 119 1999 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 Minimal escape velocities. Zbl 0944.35014Hunziker, W.; Sigal, I. M.; Soffer, A. 32 1999 Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. Zbl 0976.58019Łaba, I.; Soffer, A. 16 1999 Ionization and scattering for short-lived potentials. Zbl 0930.35113Soffer, A.; Weinstein, M. I. 2 1999 Time dependent resonance theory. Zbl 0917.35023Soffer, A.; Weinstein, M. I. 33 1998 Nonautonomous Hamiltonians. Zbl 0936.35148Soffer, A.; Weinstein, M. I. 10 1998 \(N\)-body Hamiltonians with hard-core interactions. Zbl 0818.35094Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer, Avy 14 1994 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091Sigal, I. M.; Soffer, A. 11 1994 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010Sigal, I. M.; Soffer, A. 10 1993 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 96 1992 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054Ginibre, J.; Soffer, A.; Velo, G. 70 1992 On the many body problem in quantum mechanics. Zbl 0809.47009Soffer, Avy 1 1992 Decay estimates for Schrödinger operators. Zbl 0743.35008Journé, J.-L.; Soffer, A.; Sogge, C. D. 114 1991 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024Carlen, E. A.; Soffer, A. 23 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 112 1990 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197Sigal, I. M.; Soffer, A. 30 1990 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011Journé, J. L.; Soffer, A.; Sogge, C. D. 3 1990 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074Soffer, A.; Weinstein, M. I. 7 1989 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009Sigal, I. M.; Soffer, A. 91 1987 Asymptotic completeness of multiparticle scattering. Zbl 0651.35071Sigal, I. M.; Soffer, A. 2 1987 Asymptotic completeness of short-range many-body systems. Zbl 0597.35026Sigal, I. M.; Soffer, A. 2 1986 Completeness of wave operators in relativistic quantum mechanics. Zbl 0571.47010Soffer, A. 3 1984 \(B^*\)-algebra representations in a quaternionic Hilbert module. Zbl 0546.46063Soffer, A.; Horwitz, L. P. 2 1983 all cited Publications top 5 cited Publications all top 5 Cited by 703 Authors 45 Soffer, Avraham 27 Komech, Alexander Ilich 26 Sigal, Israel Michael 25 Cuccagna, Scipio 22 Kopylova, Elena A. 20 Merle, Frank 18 Gérard, Christian 15 Fröhlich, Jürg Martin 14 Green, William R. 14 Martel, Yvan 14 Weinstein, Michael I. 13 Goldberg, Michael Joseph 13 Schlag, Wilhelm 12 Muñoz, Claudio 11 Donninger, Roland 11 Maeda, Masaya 11 Vasy, András 10 Møller, Jacob Schach 10 Zaag, Hatem 9 Adachi, Tadayoshi 9 Aretakis, Stefanos 9 Erdoğan, Mehmet Burak 9 Faupin, Jérémy 9 Tohaneanu, Mihai 9 Yao, Xiaohua 8 Beceanu, Marius 8 Comech, Andrew 8 Gang, Zhou 8 Metcalfe, Jason L. 8 Skibsted, Erik 8 Tran, Minh-Binh 7 Blue, Pieter 7 Costin, Ovidiu 7 Dereziński, Jan 7 Gajic, Dejan 7 Georgescu, Vladimir 7 Griesemer, Marcel 7 Lindblad, Hans 7 Rodnianski, Igor 7 Sogge, Christopher D. 6 Angelopoulos, Yannis 6 Duyckaerts, Thomas 6 Dybalski, Wojciech 6 Gan, Zaihui 6 Jensen, Arne 6 Kenig, Carlos Eduardo 6 Kowalczyk, Michał 6 Mizutani, Haruya 6 Pelinovsky, Dmitry Efimovich 6 Weder, Ricardo A. 6 Zielinski, Lech 5 Dafermos, Mihalis 5 D’Ancona, Piero 5 Marzuola, Jeremy L. 5 Nakanishi, Kenji 5 Naumkin, Ivan P. 5 Nenciu, Gheorghe 5 Pusateri, Fabio 5 Tataru, Daniel 5 Tsai, Tai-Peng 5 Zhang, Jian 4 Boussaid, Nabile 4 Chen, Gong 4 Deng, Qingquan 4 Feng, Hongliang 4 Germain, Pierre 4 Golénia, Sylvain 4 Imaikin, Valery 4 Ionescu, Alexandru D. 4 Kharibegashvili, S. S. 4 Krieger, Joachim 4 Łaba, Izabella 4 Lebowitz, Joel Louis 4 Merkli, Marco 4 Moschidis, Georgios 4 Nier, Francis 4 Oh, Sung-Jin 4 Spohn, Herbert 4 Yajima, Kenji 4 Zhang, Junyong 4 Zheng, Jiqiang 3 Andersson, Lars Åke 3 Azaiez, Asma 3 Bach, Volker 3 Ball, Keith Martin 3 Barbaroux, Jean-Marie 3 Barthe, Franck 3 Blair, Matthew D. 3 Bony, Jean-François 3 Burq, Nicolas 3 Cacciapuoti, Claudio 3 Carlen, Eric Anders 3 Coti Zelati, Michele 3 De Roeck, Wojciech 3 Dodson, Benjamin G. 3 Dyatlov, Semyon 3 Egli, Daniel 3 Fishman, Shmuel 3 Goodman, Roy H. 3 Guillot, Jean-Claude ...and 603 more Authors all top 5 Cited in 144 Serials 100 Communications in Mathematical Physics 56 Journal of Functional Analysis 53 Journal of Mathematical Physics 34 Communications in Partial Differential Equations 33 Journal of Differential Equations 28 Annales Henri Poincaré 23 Reviews in Mathematical Physics 23 Advances in Mathematics 23 Transactions of the American Mathematical Society 21 Journal of Statistical Physics 17 Journal of Mathematical Analysis and Applications 17 Letters in Mathematical Physics 16 Duke Mathematical Journal 14 Physica D 13 Discrete and Continuous Dynamical Systems 12 Archive for Rational Mechanics and Analysis 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Annals of PDE 11 SIAM Journal on Mathematical Analysis 10 Communications on Pure and Applied Mathematics 10 Inventiones Mathematicae 9 Mathematische Annalen 9 Annales de l’Institut Henri Poincaré. Physique Théorique 9 Journal of Hyperbolic Differential Equations 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Applicable Analysis 6 Journal of Computational Physics 6 Nonlinearity 6 Proceedings of the American Mathematical Society 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Journal of the European Mathematical Society (JEMS) 5 Journal d’Analyse Mathématique 5 The Journal of Geometric Analysis 5 Séminaire Laurent Schwartz. EDP et Applications 4 Annales de l’Institut Fourier 4 Mathematische Zeitschrift 4 Journal of the American Mathematical Society 4 Russian Journal of Mathematical Physics 4 Communications on Pure and Applied Analysis 4 Journal of Spectral Theory 3 Russian Mathematical Surveys 3 Journal of the Mathematical Society of Japan 3 Stochastic Processes and their Applications 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 The Journal of Fourier Analysis and Applications 3 Mathematical Physics, Analysis and Geometry 3 New Journal of Physics 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 3 Advances in Mathematical Physics 3 Bulletin of Mathematical Sciences 2 Classical and Quantum Gravity 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Integral Equations and Operator Theory 2 Memoirs of the American Mathematical Society 2 Tohoku Mathematical Journal. Second Series 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields 2 Journal of Scientific Computing 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Calculus of Variations and Partial Differential Equations 2 St. Petersburg Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Communications in Contemporary Mathematics 2 Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Analysis 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis & PDE 2 Nonlinear Analysis. Theory, Methods & Applications 1 General Relativity and Gravitation 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Letters. A 1 Reviews of Modern Physics 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization ...and 44 more Serials all top 5 Cited in 42 Fields 640 Partial differential equations (35-XX) 270 Quantum theory (81-XX) 132 Operator theory (47-XX) 98 Dynamical systems and ergodic theory (37-XX) 77 Relativity and gravitational theory (83-XX) 73 Statistical mechanics, structure of matter (82-XX) 42 Global analysis, analysis on manifolds (58-XX) 30 Fluid mechanics (76-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 26 Probability theory and stochastic processes (60-XX) 23 Optics, electromagnetic theory (78-XX) 22 Functional analysis (46-XX) 19 Ordinary differential equations (34-XX) 17 Numerical analysis (65-XX) 16 Differential geometry (53-XX) 16 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 7 Systems theory; control (93-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 3 Topological groups, Lie groups (22-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Citations by Year