Soffer, Avy; Stewart, Gavin Scattering and localized states for defocusing nonlinear Schrödinger equations with potential. arXiv:2402.11366 Preprint, arXiv:2402.11366 [math.AP] (2024). MSC: 35Q55 35Q41 35B40 BibTeX Cite \textit{A. Soffer} and \textit{G. Stewart}, ``Scattering and localized states for defocusing nonlinear Schr\"odinger equations with potential'', Preprint, arXiv:2402.11366 [math.AP] (2024) Full Text: arXiv OA License
Beceanu, Marius; Soffer, Avy A positivity criterion for the wave equation and global existence of large solutions. (English) Zbl 07794962 Int. Math. Res. Not. 2023, No. 20, 17911-17952 (2023). MSC: 35L71 35A08 35L15 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{A. Soffer}, Int. Math. Res. Not. 2023, No. 20, 17911--17952 (2023; Zbl 07794962) Full Text: DOI arXiv
Soffer, Avy; Stucchio, Chris; Tran, Minh-Binh Time dependent phase space filters. A stable absorbing boundary condition. (English) Zbl 07720961 SpringerBriefs on PDEs and Data Science. Singapore: Springer (ISBN 978-981-19-6817-4/pbk; 978-981-19-6818-1/ebook). x, 140 p. (2023). Reviewer: Jiqiang Zheng (Beijing) MSC: 35-02 35Q55 35Q40 PDFBibTeX XMLCite \textit{A. Soffer} et al., Time dependent phase space filters. A stable absorbing boundary condition. Singapore: Springer (2023; Zbl 07720961) Full Text: DOI
Shen, Jia; Soffer, Avy; Wu, Yifei Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation. (English) Zbl 1512.35551 Commun. Math. Phys. 397, No. 2, 547-605 (2023). MSC: 35Q55 35Q41 35P25 35A01 35A02 42B25 35R60 PDFBibTeX XMLCite \textit{J. Shen} et al., Commun. Math. Phys. 397, No. 2, 547--605 (2023; Zbl 1512.35551) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Schlag, Wilhelm; Soffer, Avy On modified scattering for 1D quadratic Klein-Gordon equations with non-generic potentials. (English) Zbl 1517.35196 Int. Math. Res. Not. 2023, No. 6, 5118-5208 (2023). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 35B40 35B05 35B35 35P25 35C08 PDFBibTeX XMLCite \textit{H. Lindblad} et al., Int. Math. Res. Not. 2023, No. 6, 5118--5208 (2023; Zbl 1517.35196) Full Text: DOI arXiv
Li, Ping; Soffer, Avy; Yao, Xiaohua Decay estimates for fourth-order Schrödinger operators in dimension two. (English) Zbl 1511.35137 J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023). MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{P. Li} et al., J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023; Zbl 1511.35137) Full Text: DOI arXiv
Soffer, Avy; Wu, Xiaoxu The three-quasi-particle scattering problem: asymptotic completeness for short-range systems. arXiv:2309.10178 Preprint, arXiv:2309.10178 [math.AP] (2023). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``The three-quasi-particle scattering problem: asymptotic completeness for short-range systems'', Preprint, arXiv:2309.10178 [math.AP] (2023) Full Text: arXiv OA License
Soffer, Avy; Wu, Jiayan; Wu, Xiaoxu; Zhang, Ting On the large time asymptotics of bi-laplacian Schrödinger equation with general data. arXiv:2308.06856 Preprint, arXiv:2308.06856 [math.AP] (2023). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} et al., ``On the large time asymptotics of bi-laplacian Schr\"odinger equation with general data'', Preprint, arXiv:2308.06856 [math.AP] (2023) Full Text: arXiv OA License
Soffer, Avy; Wu, Xiaoxu Soliton resolution for nonlinear Schrödinger type equations in the radial case. arXiv:2304.04245 Preprint, arXiv:2304.04245 [math.AP] (2023). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``Soliton resolution for nonlinear Schr\"odinger type equations in the radial case'', Preprint, arXiv:2304.04245 [math.AP] (2023) Full Text: arXiv OA License
Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for bi-Schrödinger operators in dimension one. (English) Zbl 1505.35129 Ann. Henri Poincaré 23, No. 8, 2683-2744 (2022). Reviewer: Said El Manouni (Riyadh) MSC: 35J30 35B65 PDFBibTeX XMLCite \textit{A. Soffer} et al., Ann. Henri Poincaré 23, No. 8, 2683--2744 (2022; Zbl 1505.35129) Full Text: DOI arXiv
Soffer, Avy; Wu, Xiaoxu On The large Time Asymptotics of Klein-Gordon type equations with General Data-I. arXiv:2204.11261 Preprint, arXiv:2204.11261 [math.AP] (2022). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``On The large Time Asymptotics of Klein-Gordon type equations with General Data-I'', Preprint, arXiv:2204.11261 [math.AP] (2022) Full Text: arXiv OA License
Soffer, Avy; Wu, Xiaoxu On The large Time Asymptotics of Schrödinger type equations with General Data. arXiv:2203.00724 Preprint, arXiv:2203.00724 [math.AP] (2022). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``On The large Time Asymptotics of Schr\"odinger type equations with General Data'', Preprint, arXiv:2203.00724 [math.AP] (2022) Full Text: arXiv OA License
Soffer, Avy; Wu, Xiaoxu Local Decay Estimates. arXiv:2211.00500 Preprint, arXiv:2211.00500 [math.AP] (2022). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``Local Decay Estimates'', Preprint, arXiv:2211.00500 [math.AP] (2022) Full Text: arXiv OA License
Soffer, Avy; Wu, Xiaoxu On the Existence of Self-Similar solutions for some Nonlinear Schrödinger equations. arXiv:2205.14765 Preprint, arXiv:2205.14765 [math.AP] (2022). MSC: 35Q55 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``On the Existence of Self-Similar solutions for some Nonlinear Schr\"odinger equations'', Preprint, arXiv:2205.14765 [math.AP] (2022) Full Text: arXiv OA License
Soffer, Avy; Wu, Xiaoxu \(L^p\) Boundedness of the Scattering Wave Operators of Schrödinger Dynamics – Part 2. arXiv:2202.03307 Preprint, arXiv:2202.03307 [math.AP] (2022). MSC: 35P25 35Q55 47A40 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``$L^p$ Boundedness of the Scattering Wave Operators of Schr\"odinger Dynamics -- Part 2'', Preprint, arXiv:2202.03307 [math.AP] (2022) Full Text: arXiv OA License
Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy Beyond Bogoliubov dynamics. (English) Zbl 1496.35332 Pure Appl. Anal. 3, No. 4, 677-726 (2021). Reviewer: Ágota Figula (Debrecen) MSC: 35Q40 35Q55 81Q05 82C10 81V70 35C20 35B20 PDFBibTeX XMLCite \textit{L. Boßmann} et al., Pure Appl. Anal. 3, No. 4, 677--726 (2021; Zbl 1496.35332) Full Text: DOI arXiv
Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases. (English) Zbl 1479.35763 Adv. Math. 391, Article ID 107973, 45 p. (2021). MSC: 35Q55 35Q41 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{M. Beceanu} et al., Adv. Math. 391, Article ID 107973, 45 p. (2021; Zbl 1479.35763) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. (English) Zbl 1476.35233 J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021; Zbl 1476.35233) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. (English) Zbl 1475.35305 Arch. Ration. Mech. Anal. 241, No. 3, 1459-1527 (2021). MSC: 35Q53 35B40 35B05 35P25 35C08 PDFBibTeX XMLCite \textit{H. Lindblad} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1459--1527 (2021; Zbl 1475.35305) Full Text: DOI arXiv
Huang, Shanlin; Soffer, Avy Uncertainty principle, minimal escape velocities, and observability inequalities for Schrödinger equations. (English) Zbl 1472.35324 Am. J. Math. 143, No. 3, 753-781 (2021). MSC: 35Q41 35B40 93B05 PDFBibTeX XMLCite \textit{S. Huang} and \textit{A. Soffer}, Am. J. Math. 143, No. 3, 753--781 (2021; Zbl 1472.35324) Full Text: DOI arXiv
Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. Maximal speed of quantum propagation. (English) Zbl 1475.35301 Lett. Math. Phys. 111, No. 3, Paper No. 62, 16 p. (2021). Reviewer: Mevludin Licina (Sarajevo) MSC: 35Q41 35Q40 35Q70 35P25 81U10 81U99 81P45 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Lett. Math. Phys. 111, No. 3, Paper No. 62, 16 p. (2021; Zbl 1475.35301) Full Text: DOI arXiv
Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. (English) Zbl 1462.35346 Commun. Math. Phys. 382, No. 1, 173-237 (2021). MSC: 35Q55 35L71 35L15 35A01 35A02 PDFBibTeX XMLCite \textit{M. Beceanu} et al., Commun. Math. Phys. 382, No. 1, 173--237 (2021; Zbl 1462.35346) Full Text: DOI arXiv
Shen, Jia; Soffer, Avy; Wu, Yifei Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases. arXiv:2111.11935 Preprint, arXiv:2111.11935 [math.AP] (2021). MSC: 35K05 35B40 35B65 BibTeX Cite \textit{J. Shen} et al., ``Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases'', Preprint, arXiv:2111.11935 [math.AP] (2021) Full Text: arXiv OA License
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. (English) Zbl 1455.35021 SIAM J. Math. Anal. 52, No. 6, 6379-6411 (2020). MSC: 35B40 35L71 35L15 35P25 35Q51 35Q56 PDFBibTeX XMLCite \textit{H. Lindblad} et al., SIAM J. Math. Anal. 52, No. 6, 6379--6411 (2020; Zbl 1455.35021) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. (English) Zbl 1446.35181 J. Stat. Phys. 180, No. 1-6, 910-934 (2020). MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Stat. Phys. 180, No. 1--6, 910--934 (2020; Zbl 1446.35181) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. (English) Zbl 1450.45009 Commun. Math. Phys. 376, No. 3, 2229-2276 (2020). MSC: 45K05 82C40 35Q20 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, Commun. Math. Phys. 376, No. 3, 2229--2276 (2020; Zbl 1450.45009) Full Text: DOI arXiv
Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy Higher order corrections to the mean-field description of the dynamics of interacting bosons. (English) Zbl 1439.82029 J. Stat. Phys. 178, No. 6, 1362-1396 (2020). MSC: 82C22 82C10 81V10 35Q55 35Q40 PDFBibTeX XMLCite \textit{L. Boßmann} et al., J. Stat. Phys. 178, No. 6, 1362--1396 (2020; Zbl 1439.82029) Full Text: DOI arXiv
Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for higher-order elliptic operators. (English) Zbl 1440.35054 Trans. Am. Math. Soc. 373, No. 4, 2805-2859 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J10 35J30 35P05 PDFBibTeX XMLCite \textit{H. Feng} et al., Trans. Am. Math. Soc. 373, No. 4, 2805--2859 (2020; Zbl 1440.35054) Full Text: DOI arXiv
Petrat, Sören; Pickl, Peter; Soffer, Avy Derivation of the Bogoliubov time evolution for a large volume mean-field limit. (English) Zbl 1435.35322 Ann. Henri Poincaré 21, No. 2, 461-498 (2020). MSC: 35Q40 35Q55 81Q05 82C10 81V70 PDFBibTeX XMLCite \textit{S. Petrat} et al., Ann. Henri Poincaré 21, No. 2, 461--498 (2020; Zbl 1435.35322) Full Text: DOI arXiv
An, Xinliang; Soffer, Avy Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. (English) Zbl 1431.35145 Discrete Contin. Dyn. Syst. 40, No. 1, 331-373 (2020). MSC: 35Q40 35B34 35B40 35L70 35P25 35C08 PDFBibTeX XMLCite \textit{X. An} and \textit{A. Soffer}, Discrete Contin. Dyn. Syst. 40, No. 1, 331--373 (2020; Zbl 1431.35145) Full Text: DOI arXiv
Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. (English) Zbl 1447.35247 J. Funct. Anal. 278, No. 3, Article ID 108339, 27 p. (2020). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 35Q31 76D05 76B03 PDFBibTeX XMLCite \textit{E. Grenier} et al., J. Funct. Anal. 278, No. 3, Article ID 108339, 27 p. (2020; Zbl 1447.35247) Full Text: DOI arXiv
Soffer, Avy; Wu, Xiaoxu L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications. arXiv:2012.14356 Preprint, arXiv:2012.14356 [math.AP] (2020). MSC: 35P25 35Q55 47A40 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications'', Preprint, arXiv:2012.14356 [math.AP] (2020) Full Text: arXiv OA License
Liu, Baoping; Soffer, Avy A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description. arXiv:2012.14382 Preprint, arXiv:2012.14382 [math.AP] (2020). MSC: 35P25 35Q55 47A40 BibTeX Cite \textit{B. Liu} and \textit{A. Soffer}, ``A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description'', Preprint, arXiv:2012.14382 [math.AP] (2020) Full Text: arXiv OA License
Soffer, Avy Remark On The Notion Of Adapted Conformal And Other Estimates. arXiv:2012.14362 Preprint, arXiv:2012.14362 [math.AP] (2020). MSC: 35P15 BibTeX Cite \textit{A. Soffer}, ``Remark On The Notion Of Adapted Conformal And Other Estimates'', Preprint, arXiv:2012.14362 [math.AP] (2020) Full Text: arXiv OA License
Soffer, Avy; Wu, Yifei; Yao, Xiaohua Global existences and asymptotic behavior for semilinear heat equation. arXiv:2012.14351 Preprint, arXiv:2012.14351 [math.AP] (2020). MSC: 35K05 35B40 35B65 BibTeX Cite \textit{A. Soffer} et al., ``Global existences and asymptotic behavior for semilinear heat equation'', Preprint, arXiv:2012.14351 [math.AP] (2020) Full Text: arXiv OA License
Pusateri, Fabio; Soffer, Avy Bilinear estimates in the presence of a large potential and a critical NLS in 3d. arXiv:2003.00312 Preprint, arXiv:2003.00312 [math.AP] (2020). MSC: 35Q55 43A32 42B37 35P25 BibTeX Cite \textit{F. Pusateri} and \textit{A. Soffer}, ``Bilinear estimates in the presence of a large potential and a critical NLS in 3d'', Preprint, arXiv:2003.00312 [math.AP] (2020) Full Text: arXiv OA License
Zheng, Shijun (ed.); Beceanu, Marius (ed.); Bona, Jerry (ed.); Chen, Geng (ed.); Van Phan, Tuoc (ed.); Soffer, Avy (ed.) 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. (English) Zbl 1414.35005 Contemporary Mathematics 725. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4109-8/pbk; 978-1-4704-5196-7/ebook). x, 275 p. (2019). MSC: 35-06 35Q35 35L05 35Q55 35Q53 35Q05 76B15 00B25 PDFBibTeX XMLCite \textit{S. Zheng} (ed.) et al., 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. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1414.35005) Full Text: DOI
Chen, Thomas; Soffer, Avy Mean field dynamics of a quantum tracer particle interacting with a boson gas. (English) Zbl 1414.82026 J. Funct. Anal. 276, No. 3, 971-1006 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C40 81V70 35Q40 82D05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{A. Soffer}, J. Funct. Anal. 276, No. 3, 971--1006 (2019; Zbl 1414.82026) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy A semilinear Schroedinger equation with random potential. arXiv:1903.03451 Preprint, arXiv:1903.03451 [math.AP] (2019). MSC: 35Q41 60J65 35J10 35Q40 BibTeX Cite \textit{M. Beceanu} and \textit{A. Soffer}, ``A semilinear Schroedinger equation with random potential'', Preprint, arXiv:1903.03451 [math.AP] (2019) Full Text: arXiv OA License
Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases. arXiv:1901.07709 Preprint, arXiv:1901.07709 [math.AP] (2019). MSC: 35Q55 BibTeX Cite \textit{M. Beceanu} et al., ``Large global solutions for nonlinear Schr\"odinger equations III, energy-supercritical cases'', Preprint, arXiv:1901.07709 [math.AP] (2019) Full Text: arXiv OA License
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Endpoint Strichartz estimates for charge transfer Hamiltonians. (English) Zbl 1412.35281 Indiana Univ. Math. J. 67, No. 6, 2487-2522 (2018). MSC: 35Q40 37K40 35B40 35Q55 81U05 PDFBibTeX XMLCite \textit{Q. Deng} et al., Indiana Univ. Math. J. 67, No. 6, 2487--2522 (2018; Zbl 1412.35281) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy Large outgoing solutions to supercritical wave equations. (English) Zbl 1415.35199 Int. Math. Res. Not. 2018, No. 20, 6201-6253 (2018). MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{A. Soffer}, Int. Math. Res. Not. 2018, No. 20, 6201--6253 (2018; Zbl 1415.35199) Full Text: DOI arXiv
Soffer, Avy; Zhao, Xiaofei Modulation equations approach for solving vortex and radiation in nonlinear Schrödinger equation. (English) Zbl 1408.65095 IMA J. Appl. Math. 83, No. 3, 496-513 (2018). MSC: 65N35 65M06 35Q55 35Q41 35C08 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, IMA J. Appl. Math. 83, No. 3, 496--513 (2018; Zbl 1408.65095) Full Text: DOI arXiv
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). (English) Zbl 1428.35500 SIAM J. Math. Anal. 50, No. 5, 5243-5292 (2018). MSC: 35Q55 37K40 35B40 35C08 35P25 PDFBibTeX XMLCite \textit{Q. Deng} et al., SIAM J. Math. Anal. 50, No. 5, 5243--5292 (2018; Zbl 1428.35500) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On coupling kinetic and Schrödinger equations. (English) Zbl 1394.82012 J. Differ. Equations 265, No. 5, 2243-2279 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 82C10 82C22 82C40 35Q20 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, J. Differ. Equations 265, No. 5, 2243--2279 (2018; Zbl 1394.82012) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On the dynamics of finite temperature trapped Bose gases. (English) Zbl 1386.82035 Adv. Math. 325, 533-607 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C10 82C22 82C40 35Q20 35B44 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, Adv. Math. 325, 533--607 (2018; Zbl 1386.82035) Full Text: DOI arXiv
Feng, Hongliang; Soffer, Avy; Yao, Xiaohua Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. (English) Zbl 1379.58013 J. Funct. Anal. 274, No. 2, 605-658 (2018). MSC: 58J50 42B15 35P15 42B20 47F05 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Funct. Anal. 274, No. 2, 605--658 (2018; Zbl 1379.58013) Full Text: DOI arXiv
Soffer, Avy; Xiao, Jianguo Multi-center vector field methods for wave equations. (English) Zbl 1413.58012 Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016). MSC: 58J45 35B40 35J10 35L70 35Q41 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{J. Xiao}, Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016; Zbl 1413.58012) Full Text: DOI arXiv
Soffer, Avy; Zhao, Xiaofei A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. (English) Zbl 1364.35341 Physica D 320, 77-88 (2016). MSC: 35Q55 35C08 65L15 65M70 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv
Fishman, S.; Soffer, A. Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. (English) Zbl 1348.81227 J. Math. Phys. 57, No. 7, 072101, 22 p. (2016). Reviewer: Giovanni Rastelli (Vercelli) MSC: 81Q05 35Q41 47A35 81U05 37A35 PDFBibTeX XMLCite \textit{S. Fishman} and \textit{A. Soffer}, J. Math. Phys. 57, No. 7, 072101, 22 p. (2016; Zbl 1348.81227) Full Text: DOI arXiv
Krueger, August J.; Soffer, Avy Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. (English) Zbl 1345.81067 Ann. Henri Poincaré 17, No. 5, 1181-1208 (2016). Reviewer: Walter Freyn (Augsburg) MSC: 81R60 81Q05 35Q55 35C08 PDFBibTeX XMLCite \textit{A. J. Krueger} and \textit{A. Soffer}, Ann. Henri Poincaré 17, No. 5, 1181--1208 (2016; Zbl 1345.81067) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy Large Initial Data Global Well-Posedness for a Supercritical Wave Equation. arXiv:1602.08163 Preprint, arXiv:1602.08163 [math.AP] (2016). MSC: 35L05 35A01 35B40 35B33 BibTeX Cite \textit{M. Beceanu} and \textit{A. Soffer}, ``Large Initial Data Global Well-Posedness for a Supercritical Wave Equation'', Preprint, arXiv:1602.08163 [math.AP] (2016) Full Text: arXiv OA License
Lindblad, Hans; Soffer, Avy Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities. (English) Zbl 1328.35201 Trans. Am. Math. Soc. 367, No. 12, 8861-8909 (2015). MSC: 35Q53 35B65 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{A. Soffer}, Trans. Am. Math. Soc. 367, No. 12, 8861--8909 (2015; Zbl 1328.35201) Full Text: DOI arXiv
Krueger, August J.; Soffer, Avy Structure of noncommutative solitons: existence and spectral theory. (English) Zbl 1327.35328 Lett. Math. Phys. 105, No. 10, 1377-1398 (2015). MSC: 35Q40 35Q55 39A05 PDFBibTeX XMLCite \textit{A. J. Krueger} and \textit{A. Soffer}, Lett. Math. Phys. 105, No. 10, 1377--1398 (2015; Zbl 1327.35328) Full Text: DOI arXiv
Soffer, Avy; Zhao, Xiaofei On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. (English) Zbl 1315.35209 J. Phys. A, Math. Theor. 48, No. 13, Article ID 135201, 23 p. (2015). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35Q51 37K40 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, J. Phys. A, Math. Theor. 48, No. 13, Article ID 135201, 23 p. (2015; Zbl 1315.35209) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy The Schrödinger equation with a potential in rough motion. (English) Zbl 1245.35099 Commun. Partial Differ. Equations 37, No. 4-6, 969-1000 (2012). MSC: 35Q41 35J10 35P25 35Q55 35Q40 81U05 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{A. Soffer}, Commun. Partial Differ. Equations 37, No. 4--6, 969--1000 (2012; Zbl 1245.35099) Full Text: DOI arXiv
Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy The nonlinear Schrödinger equation with a random potential: results and puzzles. (English) Zbl 1236.35166 Nonlinearity 25, No. 4, R53-R72 (2012). MSC: 35Q55 35R60 35-02 PDFBibTeX XMLCite \textit{S. Fishman} et al., Nonlinearity 25, No. 4, R53--R72 (2012; Zbl 1236.35166) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy On pointwise decay of linear waves on a Schwarzschild black hole background. (English) Zbl 1242.83054 Commun. Math. Phys. 309, No. 1, 51-86 (2012). MSC: 83C57 83C25 83C40 83C22 35L05 81Q20 PDFBibTeX XMLCite \textit{R. Donninger} et al., Commun. Math. Phys. 309, No. 1, 51--86 (2012; Zbl 1242.83054) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. (English) Zbl 1205.83041 Adv. Math. 226, No. 1, 484-540 (2011). MSC: 83C57 83C05 83C25 35L05 PDFBibTeX XMLCite \textit{R. Donninger} et al., Adv. Math. 226, No. 1, 484--540 (2011; Zbl 1205.83041) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy The Schroedinger Equation with Potential in Random Motion. arXiv:1111.4584 Preprint, arXiv:1111.4584 [math-ph] (2011). MSC: 35Q41 60J65 35J10 35Q40 BibTeX Cite \textit{M. Beceanu} and \textit{A. Soffer}, ``The Schroedinger Equation with Potential in Random Motion'', Preprint, arXiv:1111.4584 [math-ph] (2011) Full Text: arXiv OA License
Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy A numerical and symbolical approximation of the nonlinear Anderson model. (English) Zbl 1375.35495 New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010). MSC: 35Q55 81Q15 PDFBibTeX XMLCite \textit{Y. Krivolapov} et al., New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010; Zbl 1375.35495) Full Text: DOI arXiv
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang Decay for the wave and Schrödinger evolutions on manifolds with conical ends. II. (English) Zbl 1187.35032 Trans. Am. Math. Soc. 362, No. 1, 289-318 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35J10 58J05 58J60 35P25 35B45 PDFBibTeX XMLCite \textit{W. Schlag} et al., Trans. Am. Math. Soc. 362, No. 1, 289--318 (2010; Zbl 1187.35032) Full Text: DOI arXiv
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. (English) Zbl 1185.35046 Trans. Am. Math. Soc. 362, No. 1, 19-52 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35J10 58J05 58J60 35P25 PDFBibTeX XMLCite \textit{W. Schlag} et al., Trans. Am. Math. Soc. 362, No. 1, 19--52 (2010; Zbl 1185.35046) Full Text: DOI arXiv
Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy Perturbation theory for the nonlinear Schrödinger equation with a random potential. (English) Zbl 1204.37074 Nonlinearity 22, No. 12, 2861-2887 (2009). Reviewer: M. Marin (Brasov) MSC: 37K40 35Q55 35F20 35Q41 35J10 37K10 PDFBibTeX XMLCite \textit{S. Fishman} et al., Nonlinearity 22, No. 12, 2861--2887 (2009; Zbl 1204.37074) Full Text: DOI arXiv
Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. Nonlinear dynamic phenomena in macroscopic tunneling. (English) Zbl 1167.82325 Physica D 238, No. 15, 1475-1481 (2009). MSC: 82C10 35Q55 35Q51 78A60 PDFBibTeX XMLCite \textit{G. Dekel} et al., Physica D 238, No. 15, 1475--1481 (2009; Zbl 1167.82325) Full Text: DOI arXiv
Soffer, Avy; Stucchio, Chris Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. (English) Zbl 1176.65116 Blackmore, Denis (ed.) et al., Frontiers of applied and computational mathematics. Dedicated to Daljit Singh Ahluwalia on his 75th birthday. Papers based on the presentations at the 5th annual frontiers in applied and computational mathematics conference (FACM ’08), Newark, NJ, USA, 19–21 May 2008. Hackensack, NJ: World Scientific (ISBN 978-981-283-528-4/hbk). 240-247 (2008). MSC: 65M70 65M12 35L05 35L65 35Q61 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{C. Stucchio}, in: Frontiers of applied and computational mathematics. Dedicated to Daljit Singh Ahluwalia on his 75th birthday. Papers based on the presentations at the 5th annual frontiers in applied and computational mathematics conference (FACM '08), Newark, NJ, USA, 19--21 May 2008. Hackensack, NJ: World Scientific. 240--247 (2009; Zbl 1176.65116) Full Text: arXiv
Blue, P.; Soffer, A. Phase space analysis on some black hole manifolds. (English) Zbl 1158.83007 J. Funct. Anal. 256, No. 1, 1-90 (2009). MSC: 83C05 83C57 35Q75 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, J. Funct. Anal. 256, No. 1, 1--90 (2009; Zbl 1158.83007) Full Text: DOI arXiv
Stucchio, Chris; Soffer, Avy Multiscale resolution of shortwave-longwave interaction. (English) Zbl 1155.65084 Commun. Pure Appl. Math. 62, No. 1, 82-124 (2009). MSC: 65M70 65M15 35Q55 PDFBibTeX XMLCite \textit{C. Stucchio} and \textit{A. Soffer}, Commun. Pure Appl. Math. 62, No. 1, 82--124 (2009; Zbl 1155.65084) Full Text: DOI arXiv
Soffer, A. Geometric characterization of solitons. (English) Zbl 1169.35056 Commun. Partial Differ. Equations 33, No. 11, 1953-1974 (2008). Reviewer: Gabjin Yun (Yongin) MSC: 35Q55 35Q51 35B45 35A30 PDFBibTeX XMLCite \textit{A. Soffer}, Commun. Partial Differ. Equations 33, No. 11, 1953--1974 (2008; Zbl 1169.35056) Full Text: DOI arXiv Link
Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. (English) Zbl 1149.82027 J. Stat. Phys. 131, No. 5, 843-865 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82C44 35Q55 PDFBibTeX XMLCite \textit{S. Fishman} et al., J. Stat. Phys. 131, No. 5, 843--865 (2008; Zbl 1149.82027) Full Text: DOI arXiv
Blue, Pieter; Soffer, Avy A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. (English) Zbl 1137.58011 Lett. Math. Phys. 81, No. 3, 227-238 (2007). MSC: 58J45 35P25 35L70 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, Lett. Math. Phys. 81, No. 3, 227--238 (2007; Zbl 1137.58011) Full Text: DOI arXiv
Soffer, A.; Stucchio, C. Open boundaries for the nonlinear Schrödinger equation. (English) Zbl 1122.65094 J. Comput. Phys. 225, No. 2, 1218-1232 (2007). MSC: 65M70 35Q55 65M15 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{C. Stucchio}, J. Comput. Phys. 225, No. 2, 1218--1232 (2007; Zbl 1122.65094) Full Text: DOI arXiv
Soffer, Avy Soliton dynamics and scattering. (English) Zbl 1111.35054 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 459-471 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q51 37L50 35B40 35P25 PDFBibTeX XMLCite \textit{A. Soffer}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 459--471 (2006; Zbl 1111.35054)
Lindblad, Hans; Soffer, Avy Scattering and small data completeness for the critical nonlinear Schrödinger equation. (English) Zbl 1106.35099 Nonlinearity 19, No. 2, 345-353 (2006). Reviewer: A. D. Osborne (Keele) MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{A. Soffer}, Nonlinearity 19, No. 2, 345--353 (2006; Zbl 1106.35099) Full Text: DOI arXiv
Blue, P.; Soffer, A. Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole. arXiv:math/0612168 Preprint, arXiv:math/0612168 [math.AP] (2006). MSC: 35Q75 58J45 BibTeX Cite \textit{P. Blue} and \textit{A. Soffer}, ``Improved decay rates with small regularity loss for the wave equation about a Schwarzschild black hole'', Preprint, arXiv:math/0612168 [math.AP] (2006) Full Text: arXiv
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I. arXiv:math/0608075 Preprint, arXiv:math/0608075 [math.AP] (2006). MSC: 35J10 BibTeX Cite \textit{W. Schlag} et al., ``Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I'', Preprint, arXiv:math/0608075 [math.AP] (2006) Full Text: arXiv
Lindblad, Hans; Soffer, Avy A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation. (English) Zbl 1106.35072 Lett. Math. Phys. 73, No. 3, 249-258 (2005). MSC: 35Q40 35L15 74J30 76B15 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{A. Soffer}, Lett. Math. Phys. 73, No. 3, 249--258 (2005; Zbl 1106.35072) Full Text: DOI arXiv
Blue, P.; Soffer, A. The wave equation on the Schwarzschild metric. II: Local decay for the spin-2 Regge-Wheeler equation. (English) Zbl 1076.58020 J. Math. Phys. 46, No. 1, 012502, 9 p. (2005). MSC: 58J45 35Q75 83C15 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, J. Math. Phys. 46, No. 1, 012502, 9 p. (2005; Zbl 1076.58020) Full Text: DOI arXiv
Lindblad, Hans; Soffer, Avy A remark on long range scattering for the nonlinear Klein-Gordon equation. (English) Zbl 1080.35044 J. Hyperbolic Differ. Equ. 2, No. 1, 77-89 (2005). MSC: 35L70 35L15 35P25 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{A. Soffer}, J. Hyperbolic Differ. Equ. 2, No. 1, 77--89 (2005; Zbl 1080.35044) Full Text: DOI arXiv
Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham Dispersive analysis of charge transfer models. (English) Zbl 1130.81053 Commun. Pure Appl. Math. 58, No. 2, 149-216 (2005). MSC: 81U05 35B40 35Q40 35Q55 81Q10 PDFBibTeX XMLCite \textit{I. Rodnianski} et al., Commun. Pure Appl. Math. 58, No. 2, 149--216 (2005; Zbl 1130.81053) Full Text: DOI arXiv
Soffer, A.; Weinstein, M. I. Selection of the ground state for nonlinear Schrödinger equations. (English) Zbl 1111.81313 Rev. Math. Phys. 16, No. 8, 977-1071 (2004). MSC: 81Q10 35Q55 81U05 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Rev. Math. Phys. 16, No. 8, 977--1071 (2004; Zbl 1111.81313) Full Text: DOI arXiv
Blue, P.; Soffer, A. Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates. (English) Zbl 1044.58033 Adv. Differ. Equ. 8, No. 5, 595-614 (2003). Reviewer: Thoralf Chrobok (Berlin) MSC: 58J45 83C57 35Q75 35L05 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, Adv. Differ. Equ. 8, No. 5, 595--614 (2003; Zbl 1044.58033) Full Text: arXiv
Nier, F.; Soffer, A. Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. (English) Zbl 1034.35017 J. Funct. Anal. 198, No. 2, 511-535 (2003). Reviewer: Terence Tao (Los Angeles) MSC: 35J10 47F05 35Q40 81Q10 47D08 PDFBibTeX XMLCite \textit{F. Nier} and \textit{A. Soffer}, J. Funct. Anal. 198, No. 2, 511--535 (2003; Zbl 1034.35017) Full Text: DOI
Costin, O.; Soffer, A. Resonance theory for Schrödinger operators. (English) Zbl 0992.81025 Commun. Math. Phys. 224, No. 1, 133-152 (2001). Reviewer: Michael Demuth (Clausthal) MSC: 81Q15 35B34 81U99 34E05 47A55 47A10 PDFBibTeX XMLCite \textit{O. Costin} and \textit{A. Soffer}, Commun. Math. Phys. 224, No. 1, 133--152 (2001; Zbl 0992.81025) Full Text: DOI arXiv
Soffer, A. Dissipation through dispersion. (English) Zbl 0989.81152 Sigal, I. M. (ed.) et al., Nonlinear dynamics and renormalization group. Proceedings of the workshop, Montréal, Canada, August 1999. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 27, 175-184 (2001). MSC: 81V70 81Q05 35Q55 81U30 PDFBibTeX XMLCite \textit{A. Soffer}, in: Nonlinear dynamics and renormalization group. Proceedings of the workshop, Montréal, Canada, August 1999. Providence, RI: American Mathematical Society (AMS). 175--184 (2001; Zbl 0989.81152)
Miller, P. D.; Soffer, A.; Weinstein, M. I. Metastability of breather modes of time-dependent potentials. (English) Zbl 0979.37038 Nonlinearity 13, No. 3, 507-568 (2000). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37K55 35C20 78A60 81Q05 81Q15 35C15 35Q55 PDFBibTeX XMLCite \textit{P. D. Miller} et al., Nonlinearity 13, No. 3, 507--568 (2000; Zbl 0979.37038) Full Text: DOI arXiv Link
Łaba, I.; Soffer, A. Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. (English) Zbl 0976.58019 Helv. Phys. Acta 72, No. 4, 274-294 (1999). MSC: 58J45 35Q75 58J50 81Q05 PDFBibTeX XMLCite \textit{I. Łaba} and \textit{A. Soffer}, Helv. Phys. Acta 72, No. 4, 274--294 (1999; Zbl 0976.58019) Full Text: arXiv
Hunziker, W.; Sigal, I. M.; Soffer, A. Minimal escape velocities. (English) Zbl 0944.35014 Commun. Partial Differ. Equations 24, No. 11-12, 2279-2295 (1999). Reviewer: Tuncay Aktosun (Fargo) MSC: 35J10 47N50 PDFBibTeX XMLCite \textit{W. Hunziker} et al., Commun. Partial Differ. Equations 24, No. 11--12, 2279--2295 (1999; Zbl 0944.35014) Full Text: DOI arXiv
Soffer, A.; Weinstein, M. I. Ionization and scattering for short-lived potentials. (English) Zbl 0930.35113 Lett. Math. Phys. 48, No. 4, 339-352 (1999). MSC: 35P05 81U10 47N50 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Lett. Math. Phys. 48, No. 4, 339--352 (1999; Zbl 0930.35113) Full Text: DOI
Soffer, A.; Weinstein, M. I. Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. (English) Zbl 0910.35107 Invent. Math. 136, No. 1, 9-74 (1999). Reviewer: M.I.Weinstein (Ann Arbor) MSC: 35Q40 81Q05 35B40 PDFBibTeX XML Full Text: DOI arXiv
Soffer, A.; Weinstein, M. I. Nonautonomous Hamiltonians. (English) Zbl 0936.35148 J. Stat. Phys. 93, No. 1-2, 359-391 (1998). MSC: 35Q40 81Q10 37K05 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, J. Stat. Phys. 93, No. 1--2, 359--391 (1998; Zbl 0936.35148) Full Text: DOI arXiv
Soffer, A.; Weinstein, M. I. Time dependent resonance theory. (English) Zbl 0917.35023 Geom. Funct. Anal. 8, No. 6, 1086-1128 (1998). MSC: 35G10 35Q40 35P05 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Geom. Funct. Anal. 8, No. 6, 1086--1128 (1998; Zbl 0917.35023) Full Text: DOI arXiv
Soffer, A. Time dependent resonance theory in quantum mechanics. (English) Zbl 0888.35093 Demuth, Michael (ed.) et al., Differential equations, asymptotic analysis, and mathematical physics. Papers associated with the international conference on partial differential equations, Potsdam, Germany, June 29–July 2, 1996. Akademie Verlag: Akademie Verlag. Math. Res. 100, 384-391 (1997). MSC: 35Q40 81Q10 81U20 35B40 PDFBibTeX XMLCite \textit{A. Soffer}, in: Differential equations, asymptotic analysis, and mathematical physics. Papers associated with the international conference on partial differential equations, Potsdam, Germany, June 29--July 2, 1996. Berlin: Akademie Verlag. 384--391 (1997; Zbl 0888.35093)
Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer, Avy \(N\)-body Hamiltonians with hard-core interactions. (English) Zbl 0818.35094 Rev. Math. Phys. 6, No. 4, 515-596 (1994). Reviewer: J.Asch (Marseille) MSC: 35Q40 81U10 35P25 PDFBibTeX XMLCite \textit{A. Boutet de Monvel-Berthier} et al., Rev. Math. Phys. 6, No. 4, 515--596 (1994; Zbl 0818.35094) Full Text: DOI
Sigal, I. M.; Soffer, A. Asymptotic completeness of \(N\)-particle long-range scattering. (English) Zbl 0811.35091 J. Am. Math. Soc. 7, No. 2, 307-334 (1994). Reviewer: M.Codegone (Torino) MSC: 35P25 47F05 81U10 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{A. Soffer}, J. Am. Math. Soc. 7, No. 2, 307--334 (1994; Zbl 0811.35091) Full Text: DOI
Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. (English) Zbl 0795.35073 J. Differ. Equations 98, No. 2, 376-390 (1992). MSC: 35P25 35Q55 81U30 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, J. Differ. Equations 98, No. 2, 376--390 (1992; Zbl 0795.35073) Full Text: DOI Link
Soffer, Avy On the many body problem in quantum mechanics. (English) Zbl 0809.47009 Robert, D. (ed.), Méthodes semi-classiques. Vol. 1. École d’été (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 207, 109-152 (1992). Reviewer: M.Demuth (Clausthal) MSC: 47A40 35P25 81U10 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{A. Soffer}, in: Méthodes semi-classiques. Vol. 1. École d'été (Nantes, juin 1991). Paris: Société Mathématique de France. 109--152 (1992; Zbl 0809.47009)
Ginibre, J.; Soffer, A.; Velo, G. The global Cauchy problem for the critical nonlinear wave equation. (English) Zbl 0813.35054 J. Funct. Anal. 110, No. 1, 96-130 (1992). MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{J. Ginibre} et al., J. Funct. Anal. 110, No. 1, 96--130 (1992; Zbl 0813.35054) Full Text: DOI
Journé, J.-L.; Soffer, A.; Sogge, C. D. Decay estimates for Schrödinger operators. (English) Zbl 0743.35008 Commun. Pure Appl. Math. 44, No. 5, 573-604 (1991). Reviewer: I.N.Katz (St.Louis) MSC: 35B40 35G10 35K25 35J10 35Q40 PDFBibTeX XMLCite \textit{J. L. Journé} et al., Commun. Pure Appl. Math. 44, No. 5, 573--604 (1991; Zbl 0743.35008) Full Text: DOI