Edit Profile (opens in new tab) Soffer, Avraham Compute Distance To: Compute Author ID: soffer.avraham Published as: Soffer, Avy; Soffer, A.; Soffer, Avraham more...less Documents Indexed: 94 Publications since 1983 1 Contribution as Editor Co-Authors: 60 Co-Authors with 88 Joint Publications 1,204 Co-Co-Authors all top 5 Co-Authors 7 single-authored 10 Sigal, Israel Michael 9 Weinstein, Michael I. 8 Fishman, Shmuel 6 Lindblad, Hans 6 Yao, Xiaohua 5 Beceanu, Marius 5 Krivolapov, Yevgeny 5 Schlag, Wilhelm 4 Blue, Pieter 4 Deng, Qingquan 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 2 Wu, Zhao 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 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 Kachman, Tal 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 Xiao, Jianguo 1 Zheng, Shijun 1 Zielinski, Lech all top 5 Serials 8 Communications in Mathematical Physics 8 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 4 Annales Henri Poincaré 3 Communications on Pure and Applied Mathematics 3 Advances in Mathematics 3 SIAM Journal on Mathematical Analysis 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 Computer Physics Communications 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 81 Partial differential equations (35-XX) 38 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 85 Publications have been cited 1,608 times in 875 Documents Cited by ▼ Year ▼ Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107Soffer, A.; Weinstein, M. I. 126 1999 Decay estimates for Schrödinger operators. Zbl 0743.35008Journé, J.-L.; Soffer, A.; Sogge, C. D. 119 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 118 1990 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 97 1992 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009Sigal, I. M.; Soffer, A. 96 1987 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054Ginibre, J.; Soffer, A.; Velo, G. 72 1992 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 61 2004 Dispersive analysis of charge transfer models. Zbl 1130.81053Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 51 2005 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 49 2012 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033Blue, P.; Soffer, A. 48 2003 The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. Zbl 1076.58020Blue, P.; Soffer, A. 37 2005 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 36 1999 Minimal escape velocities. Zbl 0944.35014Hunziker, W.; Sigal, I. M.; Soffer, A. 36 1999 Time dependent resonance theory. Zbl 0917.35023Soffer, A.; Weinstein, M. I. 34 1998 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 34 2011 A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072Lindblad, Hans; Soffer, Avy 33 2005 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197Sigal, I. M.; Soffer, A. 30 1990 Phase space analysis on some black hole manifolds. Zbl 1158.83007Blue, P.; Soffer, A. 29 2009 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044Lindblad, Hans; Soffer, Avy 24 2005 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024Carlen, E. A.; Soffer, A. 24 1991 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 22 2010 Resonance theory for Schrödinger operators. Zbl 0992.81025Costin, O.; Soffer, A. 22 2001 Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099Lindblad, Hans; Soffer, Avy 20 2006 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 19 2020 Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201Lindblad, Hans; Soffer, Avy 19 2015 Soliton dynamics and scattering. Zbl 1111.35054Soffer, Avy 18 2006 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 16 1994 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 15 2010 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091Sigal, I. M.; Soffer, A. 13 1994 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010Sigal, I. M.; Soffer, A. 12 1993 On the dynamics of finite temperature trapped Bose gases. Zbl 1386.82035Soffer, Avy; Tran, Minh-Binh 12 2018 Higher order corrections to the mean-field description of the dynamics of interacting bosons. Zbl 1439.82029Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy 12 2020 A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. Zbl 1137.58011Blue, Pieter; Soffer, Avy 11 2007 Nonautonomous Hamiltonians. Zbl 0936.35148Soffer, A.; Weinstein, M. I. 10 1998 Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. Zbl 1379.58013Feng, Hongliang; Soffer, Avy; Yao, Xiaohua 10 2018 Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 10 2020 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 10 2012 Abstract theory of pointwise decay with applications to wave and Schrödinger equations. Zbl 1367.47029Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy 9 2016 The nonlinear Schrödinger equation with a random potential: results and puzzles. Zbl 1236.35166Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 9 2012 Perturbation theory for the nonlinear Schrödinger equation with a random potential. Zbl 1204.37074Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 8 2009 Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. Zbl 1345.81067Krueger, August J.; Soffer, Avy 8 2016 Some Hamiltonian models of friction. Zbl 1272.70067Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 8 2011 Large outgoing solutions to supercritical wave equations. Zbl 1415.35199Beceanu, Marius; Soffer, Avy 7 2018 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074Soffer, A.; Weinstein, M. I. 7 1989 Decay estimates for higher-order elliptic operators. Zbl 1440.35054Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua 7 2020 On coupling kinetic and Schrödinger equations. Zbl 1394.82012Soffer, Avy; Tran, Minh-Binh 7 2018 Open boundaries for the nonlinear Schrödinger equation. Zbl 1122.65094Soffer, A.; Stucchio, C. 6 2007 Completeness of wave operators in relativistic quantum mechanics. Zbl 0571.47010Soffer, A. 6 1984 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 Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 5 2021 Derivation of the Bogoliubov time evolution for a large volume mean-field limit. Zbl 1435.35322Petrat, Sören; Pickl, Peter; Soffer, Avy 5 2020 The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 5 2020 Structure of noncommutative solitons: existence and spectral theory. Zbl 1327.35328Krueger, August J.; Soffer, Avy 5 2015 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038Miller, P. D.; Soffer, A.; Weinstein, M. I. 4 2000 \(B^*\)-algebra representations in a quaternionic Hilbert module. Zbl 0546.46063Soffer, A.; Horwitz, L. P. 4 1983 Anderson localization for time periodic Schrödinger operators. Zbl 1028.81018Soffer, Avy; Wang, Wei-Min 4 2003 Multiscale resolution of shortwave-longwave interaction. Zbl 1155.65084Stucchio, Chris; Soffer, Avy 3 2009 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011Journé, J. L.; Soffer, A.; Sogge, C. D. 3 1990 Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. Zbl 1472.35324Huang, Shanlin; Soffer, Avy 3 2021 Multiscale time averaging, reloaded. Zbl 1310.34051Fishman, Shmuel; Soffer, Avy 3 2014 The Schrödinger equation with a potential in rough motion. Zbl 1245.35099Beceanu, Marius; Soffer, Avy 3 2012 Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 3 2021 Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. Zbl 1431.35145An, Xinliang; Soffer, Avy 3 2020 Beyond Bogoliubov dynamics. Zbl 1496.35332Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy 3 2021 Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). Zbl 1428.35500Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 3 2018 Mean field dynamics of a quantum tracer particle interacting with a boson gas. Zbl 1414.82026Chen, Thomas; Soffer, Avy 3 2019 Maximal speed of quantum propagation. Zbl 1475.35301Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 3 2021 On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. Zbl 1450.45009Soffer, Avy; Tran, Minh-Binh 2 2020 Endpoint Strichartz estimates for charge transfer Hamiltonians. Zbl 1412.35281Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 2 2018 Nonlinear dynamic phenomena in macroscopic tunneling. Zbl 1167.82325Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. 2 2009 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 Ionization and scattering for short-lived potentials. Zbl 0930.35113Soffer, A.; Weinstein, M. I. 2 1999 Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. Zbl 1462.35346Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 2 2021 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 Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. Zbl 1176.65116Soffer, Avy; Stucchio, Chris 1 2009 On the many body problem in quantum mechanics. Zbl 0809.47009Soffer, Avy 1 1992 Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. Zbl 1348.81227Fishman, S.; Soffer, A. 1 2016 On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209Soffer, Avy; Zhao, Xiaofei 1 2015 A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341Soffer, Avy; Zhao, Xiaofei 1 2016 Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases. Zbl 1479.35763Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 1 2021 Decay estimates for bi-Schrödinger operators in dimension one. Zbl 07563802Soffer, Avy; Wu, Zhao; Yao, Xiaohua 1 2022 Decay estimates for bi-Schrödinger operators in dimension one. Zbl 07563802Soffer, Avy; Wu, Zhao; Yao, Xiaohua 1 2022 Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 5 2021 Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. Zbl 1472.35324Huang, Shanlin; Soffer, Avy 3 2021 Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 3 2021 Beyond Bogoliubov dynamics. Zbl 1496.35332Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy 3 2021 Maximal speed of quantum propagation. Zbl 1475.35301Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 3 2021 Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. Zbl 1462.35346Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 2 2021 Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases. Zbl 1479.35763Beceanu, 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 19 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 12 2020 Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 10 2020 Decay estimates for higher-order elliptic operators. Zbl 1440.35054Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua 7 2020 Derivation of the Bogoliubov time evolution for a large volume mean-field limit. Zbl 1435.35322Petrat, Sören; Pickl, Peter; Soffer, Avy 5 2020 The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 5 2020 Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. Zbl 1431.35145An, Xinliang; Soffer, Avy 3 2020 On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. Zbl 1450.45009Soffer, Avy; Tran, Minh-Binh 2 2020 Mean field dynamics of a quantum tracer particle interacting with a boson gas. Zbl 1414.82026Chen, Thomas; Soffer, Avy 3 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 10 2018 Large outgoing solutions to supercritical wave equations. Zbl 1415.35199Beceanu, Marius; Soffer, Avy 7 2018 On coupling kinetic and Schrödinger equations. Zbl 1394.82012Soffer, Avy; Tran, Minh-Binh 7 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 9 2016 Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. Zbl 1345.81067Krueger, August J.; Soffer, Avy 8 2016 Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. Zbl 1348.81227Fishman, S.; Soffer, A. 1 2016 A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341Soffer, Avy; Zhao, Xiaofei 1 2016 Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201Lindblad, Hans; Soffer, Avy 19 2015 Structure of noncommutative solitons: existence and spectral theory. Zbl 1327.35328Krueger, August J.; Soffer, Avy 5 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 3 2014 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 49 2012 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 10 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 34 2011 Some Hamiltonian models of friction. Zbl 1272.70067Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 8 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 15 2010 Phase space analysis on some black hole manifolds. Zbl 1158.83007Blue, P.; Soffer, A. 29 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 11 2007 Open boundaries for the nonlinear Schrödinger equation. Zbl 1122.65094Soffer, A.; Stucchio, C. 6 2007 Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099Lindblad, Hans; Soffer, Avy 20 2006 Soliton dynamics and scattering. Zbl 1111.35054Soffer, Avy 18 2006 Dispersive analysis of charge transfer models. Zbl 1130.81053Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 51 2005 The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. Zbl 1076.58020Blue, P.; Soffer, A. 37 2005 A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072Lindblad, Hans; Soffer, Avy 33 2005 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044Lindblad, Hans; Soffer, Avy 24 2005 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313Soffer, A.; Weinstein, M. I. 61 2004 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033Blue, P.; Soffer, A. 48 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. 22 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. 126 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 36 1999 Minimal escape velocities. Zbl 0944.35014Hunziker, W.; Sigal, I. M.; Soffer, A. 36 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. 34 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 16 1994 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091Sigal, I. M.; Soffer, A. 13 1994 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010Sigal, I. M.; Soffer, A. 12 1993 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073Soffer, A.; Weinstein, M. I. 97 1992 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054Ginibre, J.; Soffer, A.; Velo, G. 72 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. 119 1991 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024Carlen, E. A.; Soffer, A. 24 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082Soffer, A.; Weinstein, M. I. 118 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. 96 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. 6 1984 \(B^*\)-algebra representations in a quaternionic Hilbert module. Zbl 0546.46063Soffer, A.; Horwitz, L. P. 4 1983 all cited Publications top 5 cited Publications all top 5 Cited by 757 Authors 49 Soffer, Avraham 29 Cuccagna, Scipio 28 Sigal, Israel Michael 27 Komech, Alexander Ilich 22 Kopylova, Elena A. 20 Merle, Frank 18 Gérard, Christian 16 Maeda, Masaya 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 Vasy, András 11 Yao, Xiaohua 10 Aretakis, Stefanos 10 Faupin, Jérémy 10 Møller, Jacob Schach 10 Zaag, Hatem 9 Adachi, Tadayoshi 9 Erdoğan, Mehmet Burak 9 Tohaneanu, Mihai 8 Beceanu, Marius 8 Blue, Pieter 8 Comech, Andrew 8 Gajic, Dejan 8 Gang, Zhou 8 Georgescu, Vladimir 8 Metcalfe, Jason L. 8 Pusateri, Fabio 8 Skibsted, Erik 8 Sogge, Christopher D. 8 Tran, Minh-Binh 7 Angelopoulos, Yannis 7 Costin, Ovidiu 7 Dereziński, Jan 7 Griesemer, Marcel 7 Lindblad, Hans 7 Mizutani, Haruya 7 Rodnianski, Igor 6 Dafermos, Mihalis 6 Duyckaerts, Thomas 6 Dybalski, Wojciech 6 Gan, Zaihui 6 Germain, Pierre 6 Jensen, Arne 6 Kenig, Carlos Eduardo 6 Kowalczyk, Michał 6 Pelinovsky, Dmitry Efimovich 6 Segata, Jun-ichi 6 Weder, Ricardo A. 6 Zielinski, Lech 5 Chen, Gong 5 Coti Zelati, Michele 5 D’Ancona, Piero 5 Hintz, Peter 5 Imaikin, Valery 5 Ionescu, Alexandru D. 5 Ma, Siyuan 5 Marzuola, Jeremy Louis 5 Masaki, Satoshi 5 Nakanishi, Kenji 5 Naumkin, Ivan P. 5 Nenciu, Gheorghe 5 Tataru, Daniel 5 Tsai, Tai-Peng 5 Zhang, Jian 4 Andersson, Lars Åke 4 Blair, Matthew D. 4 Boßmann, Lea 4 Boussaid, Nabile 4 Deng, Qingquan 4 Dyatlov, Semyon 4 Feng, Hongliang 4 Fishman, Shmuel 4 Golénia, Sylvain 4 Kharibegashvili, S. S. 4 Krieger, Joachim 4 Łaba, Izabella 4 Lebowitz, Joel Louis 4 Masmoudi, Nader 4 Merkli, Marco 4 Moschidis, Georgios 4 Murphy, Jason 4 Nier, Francis 4 Oh, Sung-Jin 4 Pickl, Peter 4 Simon, Barry 4 Spohn, Herbert 4 Uriya, Kota 4 Wei, Dongyi 4 Yajima, Kenji 4 Zhang, Junyong 4 Zheng, Jiqiang 3 Azaiez, Asma 3 Bach, Volker 3 Ball, Keith Martin ...and 657 more Authors all top 5 Cited in 156 Serials 104 Communications in Mathematical Physics 58 Journal of Functional Analysis 57 Journal of Mathematical Physics 38 Journal of Differential Equations 34 Communications in Partial Differential Equations 31 Annales Henri Poincaré 25 Advances in Mathematics 24 Transactions of the American Mathematical Society 23 Reviews in Mathematical Physics 22 Journal of Statistical Physics 20 Journal of Mathematical Analysis and Applications 17 Archive for Rational Mechanics and Analysis 17 Letters in Mathematical Physics 16 Duke Mathematical Journal 15 Physica D 13 Nonlinear Analysis. 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Mathematical Models & Methods in Applied Sciences 2 Calculus of Variations and Partial Differential Equations 2 St. Petersburg Mathematical Journal 2 Advances in Applied Clifford Algebras 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 Journal of Evolution 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 Nonlinear Analysis. Theory, Methods & Applications 1 Computer Physics Communications 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. 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Serie Quarta 1 Applied Mathematics and Computation 1 Glasgow Mathematical Journal 1 Hokkaido Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry ...and 56 more Serials all top 5 Cited in 43 Fields 697 Partial differential equations (35-XX) 291 Quantum theory (81-XX) 139 Operator theory (47-XX) 106 Dynamical systems and ergodic theory (37-XX) 87 Relativity and gravitational theory (83-XX) 83 Statistical mechanics, structure of matter (82-XX) 48 Global analysis, analysis on manifolds (58-XX) 38 Fluid mechanics (76-XX) 29 Probability theory and stochastic processes (60-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 24 Functional analysis (46-XX) 24 Optics, electromagnetic theory (78-XX) 19 Ordinary differential equations (34-XX) 18 Differential geometry (53-XX) 17 Numerical analysis (65-XX) 16 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-XX) 8 Systems theory; control (93-XX) 7 Difference and functional equations (39-XX) 5 Real functions (26-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Statistics (62-XX) 4 Mechanics of deformable solids (74-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-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