Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in Lp-based Sobolev spaces-Reference-Cited by-同舟云学术

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Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in Lp-based Sobolev spaces

Published:2021-07-01 Issue:7 Volume:62 Page:071507
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Dodson Benjamin¹,Soffer Avraham²^ORCID,Spencer Thomas³

Affiliation:

1. Department of Mathematics, Johns Hopkins University, 3400 N. Charles St., Baltimore, Maryland 21218, USA

2. Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, New Jersey 08854, USA

3. School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540, USA

Funder

NSF-DMS

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0042321

Reference20 articles.

1. The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures

2. Semilinear Schrödinger Equations

3. Defocusing Nonlinear Schrödinger Equations

4. Nonlinear Dispersive Equations

5. On Nonlinear Schrödinger Equations with Almost Periodic Initial Data

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2. Local smoothing and Hardy spaces for Fourier integral operators on manifolds;Journal of Functional Analysis;2024-01

3. Local smoothing estimates of fractional Schrödinger equations in $$\alpha $$-modulation spaces with some applications;Journal of Evolution Equations;2023-05-09

4. Nonlinear wave equations with slowly decaying initial data;Journal of Differential Equations;2023-03

5. Wellposedness of NLS in Modulation Spaces;Journal of Fourier Analysis and Applications;2023-01-10

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