Edit Profile (opens in new tab) Soffer, Avraham Co-Author Distance Author ID: soffer.avraham Published as: Soffer, Avy; Soffer, A.; Soffer, Avraham more...less Documents Indexed: 134 Publications since 1983, including 1 Book and 36 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 69 Co-Authors with 125 Joint Publications 1,416 Co-Co-Authors all top 5 Co-Authors 10 single-authored 10 Beceanu, Marius 10 Sigal, Israel Michael 9 Weinstein, Michael I. 9 Wu, Xiaoxu 9 Yao, Xiaohua 8 Fishman, Shmuel 8 Schlag, Wilhelm 7 Lindblad, Hans 6 Stucchio, Chris 6 Tran, Minh-Binh 5 Blue, Pieter 5 Deng, Qingquan 5 Krivolapov, Yevgeny 4 Fleurov, V. 3 Fröhlich, Jürg Martin 3 Krueger, August J. 3 Lührmann, Jonas 3 Pickl, Peter 3 Staubach, Wolfgang 3 Zhao, Xiaofei 2 Boßmann, Lea 2 Carlen, Eric Anders 2 Dekel, G. 2 Dodson, Benjamin G. 2 Donninger, Roland 2 Feng, Hongliang 2 Gang, Zhou 2 Georgescu, Vladimir 2 Journé, Jean-Lin 2 Larenas, Manuel 2 Petrat, Sören 2 Pusateri, Fabio 2 Rodnianski, Igor 2 Shen, Jia 2 Sogge, Christopher D. 2 Wu, Zhao 1 An, Xinliang 1 Arbunich, Jack 1 Bach, Volker 1 Bona, Jerry Lloyd 1 Boutet de Monvel, Anne Marie 1 breeling, Michael 1 Chen, Miao 1 Chen, Thomas 1 Costin, Ovidiu 1 Farberovich, O. V. 1 Ginibre, Jean 1 Grenier, Emmanuel 1 Horwitz, Lawrence Paul 1 Huang, Shanlin 1 Kachman, Tal 1 Łaba, Izabella 1 Liu, Baoping 1 Nazarenko, Sergeĭ Vital’evich 1 Nguyen, Toan Trong 1 Nier, Francis 1 Pavlović, Nataša 1 Phan, Tuoc Van 1 Rivkind, Alexander 1 Rousset, Frédéric 1 Rumpf, Benno 1 Siegel, Charles 1 Stewart, Gavin 1 Velo, Giorgio 1 Wang, Wei-Min 1 Wu, Jiayan 1 Xiao, Jianguo 1 Zhang, Ting 1 Zheng, Shijun all top 5 Serials 9 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 IMRN. International Mathematics Research Notices 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 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 1 SpringerBriefs on PDEs and Data Science all top 5 Fields 106 Partial differential equations (35-XX) 38 Quantum theory (81-XX) 19 Operator theory (47-XX) 16 Statistical mechanics, structure of matter (82-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Numerical analysis (65-XX) 6 Relativity and gravitational theory (83-XX) 4 Probability theory and stochastic processes (60-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-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 91 Publications have been cited 1,833 times in 997 Documents Cited by ▼ Year ▼ Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107 Soffer, A.; Weinstein, M. I. 137 1999 Decay estimates for Schrödinger operators. Zbl 0743.35008 Journé, J.-L.; Soffer, A.; Sogge, C. D. 127 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082 Soffer, A.; Weinstein, M. I. 124 1990 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073 Soffer, A.; Weinstein, M. I. 101 1992 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009 Sigal, I. M.; Soffer, A. 97 1987 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054 Ginibre, J.; Soffer, A.; Velo, G. 77 1992 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313 Soffer, A.; Weinstein, M. I. 65 2004 Dispersive analysis of charge transfer models. Zbl 1130.81053 Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 57 2005 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 54 2012 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033 Blue, P.; Soffer, A. 51 2003 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 45 2011 Minimal escape velocities. Zbl 0944.35014 Hunziker, W.; Sigal, I. M.; Soffer, A. 39 1999 A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072 Lindblad, Hans; Soffer, Avy 38 2005 The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. Zbl 1076.58020 Blue, P.; Soffer, A. 38 2005 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 37 1999 Time dependent resonance theory. Zbl 0917.35023 Soffer, A.; Weinstein, M. I. 37 1998 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247 Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 32 2020 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197 Sigal, I. M.; Soffer, A. 31 1990 Phase space analysis on some black hole manifolds. Zbl 1158.83007 Blue, P.; Soffer, A. 30 2009 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024 Carlen, E. A.; Soffer, A. 29 1991 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044 Lindblad, Hans; Soffer, Avy 28 2005 Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099 Lindblad, Hans; Soffer, Avy 27 2006 Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201 Lindblad, Hans; Soffer, Avy 26 2015 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 24 2010 Resonance theory for Schrödinger operators. Zbl 0992.81025 Costin, O.; Soffer, A. 23 2001 Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021 Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 22 2020 Soliton dynamics and scattering. Zbl 1111.35054 Soffer, Avy 21 2006 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 16 2010 Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. Zbl 0976.58019 Łaba, I.; Soffer, A. 16 1999 \(N\)-body Hamiltonians with hard-core interactions. Zbl 0818.35094 Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer, Avy 16 1994 Higher order corrections to the mean-field description of the dynamics of interacting bosons. Zbl 1439.82029 Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy 15 2020 Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. Zbl 1379.58013 Feng, Hongliang; Soffer, Avy; Yao, Xiaohua 14 2018 Decay estimates for higher-order elliptic operators. Zbl 1440.35054 Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua 14 2020 A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. Zbl 1137.58011 Blue, Pieter; Soffer, Avy 13 2007 The nonlinear Schrödinger equation with a random potential: results and puzzles. Zbl 1236.35166 Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 13 2012 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091 Sigal, I. M.; Soffer, A. 13 1994 On the dynamics of finite temperature trapped Bose gases. Zbl 1386.82035 Soffer, Avy; Tran, Minh-Binh 13 2018 Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305 Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 13 2021 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010 Sigal, I. M.; Soffer, A. 12 1993 Perturbation theory for the nonlinear Schrödinger equation with a random potential. Zbl 1204.37074 Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 11 2009 On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. Zbl 1517.35196 Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy 11 2023 Nonautonomous Hamiltonians. Zbl 0936.35148 Soffer, A.; Weinstein, M. I. 10 1998 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033 Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 10 2012 Open boundaries for the nonlinear Schrödinger equation. Zbl 1122.65094 Soffer, A.; Stucchio, C. 9 2007 Abstract theory of pointwise decay with applications to wave and Schrödinger equations. Zbl 1367.47029 Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy 9 2016 On coupling kinetic and Schrödinger equations. Zbl 1394.82012 Soffer, Avy; Tran, Minh-Binh 8 2018 Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. Zbl 1345.81067 Krueger, August J.; Soffer, Avy 8 2016 The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181 Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 8 2020 Some Hamiltonian models of friction. Zbl 1272.70067 Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 8 2011 Beyond Bogoliubov dynamics. Zbl 1496.35332 Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy 8 2021 Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233 Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 8 2021 Large outgoing solutions to supercritical wave equations. Zbl 1415.35199 Beceanu, Marius; Soffer, Avy 8 2018 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074 Soffer, A.; Weinstein, M. I. 7 1989 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060 Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Derivation of the Bogoliubov time evolution for a large volume mean-field limit. Zbl 1435.35322 Petrat, Sören; Pickl, Peter; Soffer, Avy 7 2020 Completeness of wave operators in relativistic quantum mechanics. Zbl 0571.47010 Soffer, A. 6 1984 Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017 Nier, F.; Soffer, A. 6 2003 Anderson localization for time periodic Schrödinger operators. Zbl 1028.81018 Soffer, Avy; Wang, Wei-Min 6 2003 On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. Zbl 1149.82027 Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 6 2008 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038 Miller, P. D.; Soffer, A.; Weinstein, M. I. 5 2000 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011 Journé, J. L.; Soffer, A.; Sogge, C. D. 5 1990 Structure of noncommutative solitons: existence and spectral theory. Zbl 1327.35328 Krueger, August J.; Soffer, Avy 5 2015 Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases. Zbl 1479.35763 Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 5 2021 On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. Zbl 1450.45009 Soffer, Avy; Tran, Minh-Binh 5 2020 Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. Zbl 1472.35324 Huang, Shanlin; Soffer, Avy 5 2021 \(B^*\)-algebra representations in a quaternionic Hilbert module. Zbl 0546.46063 Soffer, A.; Horwitz, L. P. 4 1983 Multiscale resolution of shortwave-longwave interaction. Zbl 1155.65084 Stucchio, Chris; Soffer, Avy 4 2009 Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. Zbl 1462.35346 Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 4 2021 Maximal speed of quantum propagation. Zbl 1475.35301 Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 4 2021 Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). Zbl 1428.35500 Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 4 2018 Mean field dynamics of a quantum tracer particle interacting with a boson gas. Zbl 1414.82026 Chen, Thomas; Soffer, Avy 4 2019 The Schrödinger equation with a potential in rough motion. Zbl 1245.35099 Beceanu, Marius; Soffer, Avy 3 2012 Multiscale time averaging, reloaded. Zbl 1310.34051 Fishman, Shmuel; Soffer, Avy 3 2014 On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209 Soffer, Avy; Zhao, Xiaofei 3 2015 Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. Zbl 1431.35145 An, Xinliang; Soffer, Avy 3 2020 Asymptotic completeness of multiparticle scattering. Zbl 0651.35071 Sigal, I. M.; Soffer, A. 2 1987 Ionization and scattering for short-lived potentials. Zbl 0930.35113 Soffer, A.; Weinstein, M. I. 2 1999 Nonlinear dynamic phenomena in macroscopic tunneling. Zbl 1167.82325 Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. 2 2009 Asymptotic completeness of short-range many-body systems. Zbl 0597.35026 Sigal, I. M.; Soffer, A. 2 1986 Endpoint Strichartz estimates for charge transfer Hamiltonians. Zbl 1412.35281 Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 2 2018 Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model. Zbl 1221.82059 Rivkind, Alexander; Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy 1 2011 Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. Zbl 1176.65116 Soffer, Avy; Stucchio, Chris 1 2009 On the many body problem in quantum mechanics. Zbl 0809.47009 Soffer, Avy 1 1992 A numerical and symbolical approximation of the nonlinear Anderson model. Zbl 1375.35495 Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy 1 2010 A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341 Soffer, Avy; Zhao, Xiaofei 1 2016 Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. Zbl 1348.81227 Fishman, S.; Soffer, A. 1 2016 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 Numerical implementation of the multiscale and averaging methods for quasi periodic systems. Zbl 1498.81008 Kachman, Tal; Fishman, Shmuel; Soffer, Avy 1 2017 Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation. Zbl 1512.35551 Shen, Jia; Soffer, Avy; Wu, Yifei 1 2023 Decay estimates for bi-Schrödinger operators in dimension one. Zbl 1505.35129 Soffer, Avy; Wu, Zhao; Yao, Xiaohua 1 2022 Modulation equations approach for solving vortex and radiation in nonlinear Schrödinger equation. Zbl 1408.65095 Soffer, Avy; Zhao, Xiaofei 1 2018 On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. Zbl 1517.35196 Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy 11 2023 Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation. Zbl 1512.35551 Shen, Jia; Soffer, Avy; Wu, Yifei 1 2023 Decay estimates for bi-Schrödinger operators in dimension one. Zbl 1505.35129 Soffer, Avy; Wu, Zhao; Yao, Xiaohua 1 2022 Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. Zbl 1475.35305 Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 13 2021 Beyond Bogoliubov dynamics. Zbl 1496.35332 Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy 8 2021 Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. Zbl 1476.35233 Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 8 2021 Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases. Zbl 1479.35763 Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 5 2021 Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. Zbl 1472.35324 Huang, Shanlin; Soffer, Avy 5 2021 Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. Zbl 1462.35346 Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei 4 2021 Maximal speed of quantum propagation. Zbl 1475.35301 Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 4 2021 Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. Zbl 1447.35247 Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy 32 2020 Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. Zbl 1455.35021 Lindblad, Hans; Lührmann, Jonas; Soffer, Avy 22 2020 Higher order corrections to the mean-field description of the dynamics of interacting bosons. Zbl 1439.82029 Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy 15 2020 Decay estimates for higher-order elliptic operators. Zbl 1440.35054 Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua 14 2020 The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. Zbl 1446.35181 Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas 8 2020 Derivation of the Bogoliubov time evolution for a large volume mean-field limit. Zbl 1435.35322 Petrat, Sören; Pickl, Peter; Soffer, Avy 7 2020 On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. Zbl 1450.45009 Soffer, Avy; Tran, Minh-Binh 5 2020 Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. Zbl 1431.35145 An, Xinliang; Soffer, Avy 3 2020 Mean field dynamics of a quantum tracer particle interacting with a boson gas. Zbl 1414.82026 Chen, Thomas; Soffer, Avy 4 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 Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. Zbl 1379.58013 Feng, Hongliang; Soffer, Avy; Yao, Xiaohua 14 2018 On the dynamics of finite temperature trapped Bose gases. Zbl 1386.82035 Soffer, Avy; Tran, Minh-Binh 13 2018 On coupling kinetic and Schrödinger equations. Zbl 1394.82012 Soffer, Avy; Tran, Minh-Binh 8 2018 Large outgoing solutions to supercritical wave equations. Zbl 1415.35199 Beceanu, Marius; Soffer, Avy 8 2018 Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). Zbl 1428.35500 Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 4 2018 Endpoint Strichartz estimates for charge transfer Hamiltonians. Zbl 1412.35281 Deng, Qingquan; Soffer, Avy; Yao, Xiaohua 2 2018 Modulation equations approach for solving vortex and radiation in nonlinear Schrödinger equation. Zbl 1408.65095 Soffer, Avy; Zhao, Xiaofei 1 2018 Numerical implementation of the multiscale and averaging methods for quasi periodic systems. Zbl 1498.81008 Kachman, Tal; Fishman, Shmuel; Soffer, Avy 1 2017 Abstract theory of pointwise decay with applications to wave and Schrödinger equations. Zbl 1367.47029 Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy 9 2016 Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. Zbl 1345.81067 Krueger, August J.; Soffer, Avy 8 2016 A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. Zbl 1364.35341 Soffer, Avy; Zhao, Xiaofei 1 2016 Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. Zbl 1348.81227 Fishman, S.; Soffer, A. 1 2016 Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. Zbl 1328.35201 Lindblad, Hans; Soffer, Avy 26 2015 Structure of noncommutative solitons: existence and spectral theory. Zbl 1327.35328 Krueger, August J.; Soffer, Avy 5 2015 On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. Zbl 1315.35209 Soffer, Avy; Zhao, Xiaofei 3 2015 Multiscale time averaging, reloaded. Zbl 1310.34051 Fishman, Shmuel; Soffer, Avy 3 2014 On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 54 2012 The nonlinear Schrödinger equation with a random potential: results and puzzles. Zbl 1236.35166 Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 13 2012 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033 Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 10 2012 The Schrödinger equation with a potential in rough motion. Zbl 1245.35099 Beceanu, Marius; Soffer, Avy 3 2012 A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041 Donninger, Roland; Schlag, Wilhelm; Soffer, Avy 45 2011 Some Hamiltonian models of friction. Zbl 1272.70067 Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 8 2011 Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model. Zbl 1221.82059 Rivkind, Alexander; Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy 1 2011 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. Zbl 1185.35046 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 24 2010 Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. Zbl 1187.35032 Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang 16 2010 A numerical and symbolical approximation of the nonlinear Anderson model. Zbl 1375.35495 Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy 1 2010 Phase space analysis on some black hole manifolds. Zbl 1158.83007 Blue, P.; Soffer, A. 30 2009 Perturbation theory for the nonlinear Schrödinger equation with a random potential. Zbl 1204.37074 Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy 11 2009 Multiscale resolution of shortwave-longwave interaction. Zbl 1155.65084 Stucchio, Chris; Soffer, Avy 4 2009 Nonlinear dynamic phenomena in macroscopic tunneling. Zbl 1167.82325 Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. 2 2009 Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. Zbl 1176.65116 Soffer, Avy; Stucchio, Chris 1 2009 On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. Zbl 1149.82027 Fishman, 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 1137.58011 Blue, Pieter; Soffer, Avy 13 2007 Open boundaries for the nonlinear Schrödinger equation. Zbl 1122.65094 Soffer, A.; Stucchio, C. 9 2007 Scattering and small data completeness for the critical nonlinear Schrödinger equation. Zbl 1106.35099 Lindblad, Hans; Soffer, Avy 27 2006 Soliton dynamics and scattering. Zbl 1111.35054 Soffer, Avy 21 2006 Dispersive analysis of charge transfer models. Zbl 1130.81053 Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham 57 2005 A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. Zbl 1106.35072 Lindblad, Hans; Soffer, Avy 38 2005 The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. Zbl 1076.58020 Blue, P.; Soffer, A. 38 2005 A remark on long range scattering for the nonlinear Klein-Gordon equation. Zbl 1080.35044 Lindblad, Hans; Soffer, Avy 28 2005 Selection of the ground state for nonlinear Schrödinger equations. Zbl 1111.81313 Soffer, A.; Weinstein, M. I. 65 2004 Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. Zbl 1044.58033 Blue, P.; Soffer, A. 51 2003 Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017 Nier, F.; Soffer, A. 6 2003 Anderson localization for time periodic Schrödinger operators. Zbl 1028.81018 Soffer, Avy; Wang, Wei-Min 6 2003 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060 Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Resonance theory for Schrödinger operators. Zbl 0992.81025 Costin, O.; Soffer, A. 23 2001 Metastability of breather modes of time-dependent potentials. Zbl 0979.37038 Miller, P. D.; Soffer, A.; Weinstein, M. I. 5 2000 Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Zbl 0910.35107 Soffer, A.; Weinstein, M. I. 137 1999 Minimal escape velocities. Zbl 0944.35014 Hunziker, W.; Sigal, I. M.; Soffer, A. 39 1999 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 37 1999 Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. Zbl 0976.58019 Łaba, I.; Soffer, A. 16 1999 Ionization and scattering for short-lived potentials. Zbl 0930.35113 Soffer, A.; Weinstein, M. I. 2 1999 Time dependent resonance theory. Zbl 0917.35023 Soffer, A.; Weinstein, M. I. 37 1998 Nonautonomous Hamiltonians. Zbl 0936.35148 Soffer, A.; Weinstein, M. I. 10 1998 \(N\)-body Hamiltonians with hard-core interactions. Zbl 0818.35094 Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer, Avy 16 1994 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091 Sigal, I. M.; Soffer, A. 13 1994 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010 Sigal, I. M.; Soffer, A. 12 1993 Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. Zbl 0795.35073 Soffer, A.; Weinstein, M. I. 101 1992 The global Cauchy problem for the critical nonlinear wave equation. Zbl 0813.35054 Ginibre, J.; Soffer, A.; Velo, G. 77 1992 On the many body problem in quantum mechanics. Zbl 0809.47009 Soffer, Avy 1 1992 Decay estimates for Schrödinger operators. Zbl 0743.35008 Journé, J.-L.; Soffer, A.; Sogge, C. D. 127 1991 Entropy production by block variable summation and central limit theorems. Zbl 0734.60024 Carlen, E. A.; Soffer, A. 29 1991 Multichannel nonlinear scattering for nonintegrable equations. Zbl 0721.35082 Soffer, A.; Weinstein, M. I. 124 1990 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197 Sigal, I. M.; Soffer, A. 31 1990 \(L^ p \to{} L^{p'}\) estimates for time-dependent Schrödinger operators. Zbl 0751.35011 Journé, J. L.; Soffer, A.; Sogge, C. D. 5 1990 Multichannel nonlinear scattering theory for nonintegrable equations. Zbl 0712.35074 Soffer, A.; Weinstein, M. I. 7 1989 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009 Sigal, I. M.; Soffer, A. 97 1987 Asymptotic completeness of multiparticle scattering. Zbl 0651.35071 Sigal, I. M.; Soffer, A. 2 1987 Asymptotic completeness of short-range many-body systems. Zbl 0597.35026 Sigal, I. M.; Soffer, A. 2 1986 Completeness of wave operators in relativistic quantum mechanics. Zbl 0571.47010 Soffer, A. 6 1984 \(B^*\)-algebra representations in a quaternionic Hilbert module. Zbl 0546.46063 Soffer, A.; Horwitz, L. P. 4 1983 all cited Publications top 5 cited Publications all top 5 Cited by 870 Authors 50 Soffer, Avraham 29 Cuccagna, Scipio 29 Sigal, Israel Michael 27 Komech, Alexander Ilich 23 Kopylova, Elena A. 20 Merle, Frank 18 Gérard, Christian 18 Green, William R. 18 Maeda, Masaya 16 Weinstein, Michael I. 15 Fröhlich, Jürg Martin 15 Goldberg, Michael Joseph 14 Martel, Yvan 14 Schlag, Wilhelm 13 Muñoz, Claudio 12 Donninger, Roland 12 Erdoğan, Mehmet Burak 12 Pusateri, Fabio 11 Aretakis, Stefanos 11 Faupin, Jérémy 11 Vasy, András 11 Yao, Xiaohua 10 Gajic, Dejan 10 Møller, Jacob Schach 10 Zaag, Hatem 9 Adachi, Tadayoshi 9 Lindblad, Hans 9 Tataru, Daniel 9 Tohaneanu, Mihai 8 Angelopoulos, Yannis 8 Beceanu, Marius 8 Blue, Pieter 8 Chen, Gong 8 Gang, Zhou 8 Georgescu, Vladimir 8 Ma, Siyuan 8 Metcalfe, Jason L. 8 Skibsted, Erik 8 Sogge, Christopher D. 8 Tran, Minh-Binh 7 Costin, Ovidiu 7 Dereziński, Jan 7 Germain, Pierre 7 Griesemer, Marcel 7 Kenig, Carlos Eduardo 7 Kowalczyk, Michał 7 Mizutani, Haruya 7 Rodnianski, Igor 7 Segata, Jun-ichi 7 Weder, Ricardo A. 7 Wei, Dongyi 7 Zhang, Zhifei 6 Comech, Andrew 6 Coti Zelati, Michele 6 Dafermos, Mihalis 6 De Roeck, Wojciech 6 Duyckaerts, Thomas 6 Dybalski, Wojciech 6 Gan, Zaihui 6 Jensen, Arne 6 Jia, Hao 6 Masaki, Satoshi 6 Masmoudi, Nader 6 Naumkin, Ivan P. 6 Pelinovsky, Dmitry Efimovich 5 Boßmann, Lea 5 D’Ancona, Piero 5 Dodson, Benjamin G. 5 Hintz, Peter 5 Huang, Shanlin 5 Imaikin, Valery 5 Ionescu, Alexandru D. 5 Jendrej, Jacek 5 Lührmann, Jonas 5 Marzuola, Jeremy Louis 5 Murphy, Jason 5 Nakanishi, Kenji 5 Nenciu, Gheorghe 5 Oh, Sung-Jin 5 Palacios, José Manuel 5 Petrat, Sören 5 Shen, Ruipeng 5 Tsai, Tai-Peng 5 Zhang, Jian 5 Zielinski, Lech 4 Andersson, Lars Åke 4 Blair, Matthew D. 4 Bony, Jean-François 4 Boussaid, Nabile 4 Deng, Qingquan 4 Dyatlov, Semyon 4 Feng, Hongliang 4 Fishman, Shmuel 4 Golénia, Sylvain 4 Huveneers, François 4 Kharibegashvili, S. S. 4 Krieger, Joachim 4 Łaba, Izabella 4 Lawrie, Andrew G. W. 4 Lebowitz, Joel Louis ...and 770 more Authors all top 5 Cited in 175 Serials 115 Communications in Mathematical Physics 63 Journal of Functional Analysis 59 Journal of Mathematical Physics 43 Journal of Differential Equations 37 Communications in Partial Differential Equations 34 Annales Henri Poincaré 29 Advances in Mathematics 26 Transactions of the American Mathematical Society 24 Reviews in Mathematical Physics 23 Journal of Statistical Physics 21 Journal of Mathematical Analysis and Applications 20 Archive for Rational Mechanics and Analysis 19 Duke Mathematical Journal 18 Letters in Mathematical Physics 16 Physica D 15 Discrete and Continuous Dynamical Systems 14 Nonlinear Analysis. Theory, Methods & Applications. 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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 Journal of High Energy Physics 2 Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Multiscale Modeling & Simulation 2 Communications in Mathematical Analysis 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Forum of Mathematics, Pi 2 Forum of Mathematics, Sigma 2 Nonlinear Analysis. Theory, Methods & Applications 2 Transactions of the American Mathematical Society. Series B 1 Computer Physics Communications ...and 75 more Serials all top 5 Cited in 44 Fields 801 Partial differential equations (35-XX) 316 Quantum theory (81-XX) 150 Operator theory (47-XX) 116 Dynamical systems and ergodic theory (37-XX) 99 Statistical mechanics, structure of matter (82-XX) 99 Relativity and gravitational theory (83-XX) 53 Fluid mechanics (76-XX) 52 Global analysis, analysis on manifolds (58-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 35 Probability theory and stochastic processes (60-XX) 28 Optics, electromagnetic theory (78-XX) 24 Functional analysis (46-XX) 24 Numerical analysis (65-XX) 22 Ordinary differential equations (34-XX) 19 Mechanics of particles and systems (70-XX) 18 Differential geometry (53-XX) 11 Systems theory; control (93-XX) 11 Information and communication theory, circuits (94-XX) 9 Difference and functional equations (39-XX) 7 Real functions (26-XX) 6 Statistics (62-XX) 5 Topological groups, Lie groups (22-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Nonassociative rings and algebras (17-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 4 Astronomy and astrophysics (85-XX) 4 Biology and other natural sciences (92-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) 2 Algebraic geometry (14-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-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