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
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
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
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
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
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
Fishman, Shmuel; Soffer, Avy Multiscale time averaging, reloaded. (English) Zbl 1310.34051 SIAM J. Math. Anal. 46, No. 2, 1385-1405 (2014). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 34C29 34C20 34D15 34E13 37J40 PDFBibTeX XMLCite \textit{S. Fishman} and \textit{A. Soffer}, SIAM J. Math. Anal. 46, No. 2, 1385--1405 (2014; Zbl 1310.34051) 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
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)
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
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