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Author ID: soffer.avraham Recent zbMATH articles by "Soffer, Avraham"
Published as: Soffer, Avy; Soffer, A.; Soffer, Avraham

Publications by Year

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 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. Series A: Theory and Methods
14 SIAM Journal on Mathematical Analysis
14 Annals of PDE
12 Communications on Pure and Applied Mathematics
12 Nonlinearity
11 Inventiones Mathematicae
10 Mathematische Annalen
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Journal of Hyperbolic Differential Equations
9 Annales de l’Institut Henri Poincaré. Physique Théorique
7 Proceedings of the American Mathematical Society
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Analysis & PDE
6 Applicable Analysis
6 Journal of Computational Physics
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 The Journal of Geometric Analysis
6 Journal of the European Mathematical Society (JEMS)
5 Journal d’Analyse Mathématique
5 Journal of the American Mathematical Society
5 Communications on Pure and Applied Analysis
5 Séminaire Laurent Schwartz. EDP et Applications
4 Annales de l’Institut Fourier
4 Mathematische Zeitschrift
4 Bulletin of the American Mathematical Society. New Series
4 Journal of Nonlinear Science
4 Russian Journal of Mathematical Physics
4 NoDEA. Nonlinear Differential Equations and Applications
4 The Journal of Fourier Analysis and Applications
4 Mathematical Physics, Analysis and Geometry
4 Journal of Evolution Equations
4 Journal of Spectral Theory
4 Pure and Applied Analysis
3 Classical and Quantum Gravity
3 Russian Mathematical Surveys
3 Indiana University Mathematics Journal
3 Journal of the Mathematical Society of Japan
3 Memoirs of the American Mathematical Society
3 Quarterly of Applied Mathematics
3 Journal of Scientific Computing
3 Stochastic Processes and their Applications
3 New Journal of Physics
3 Annals of Mathematics. Second Series
3 Acta Mathematica Sinica. English Series
3 Oberwolfach Reports
3 Advances in Mathematical Physics
3 Bulletin of Mathematical Sciences
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Rocky Mountain Journal of Mathematics
2 Acta Mathematica
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Illinois Journal of Mathematics
2 Integral Equations and Operator Theory
2 Journal of the London Mathematical Society. Second Series
2 Studies in Applied Mathematics
2 Tôhoku Mathematical Journal. Second Series
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 Applied Numerical Mathematics
2 Probability Theory and Related Fields
2 M\(^3\)AS. 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)

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