Local and global well-posedness, and Lp′-decay estimates for 1D nonlinear Schrödinger equations with Cauchy data in L-Reference-Cited by-同舟云学术

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Local and global well-posedness, and Lp′-decay estimates for 1D nonlinear Schrödinger equations with Cauchy data in L

Published:2020-07 Issue:12 Volume:278 Page:108511
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Hyakuna Ryosuke^ORCID

Publisher

Elsevier BV

Subject

Analysis

Reference25 articles.

1. Pitt's inequality with sharp convolution estimates;Beckner;Proc. Am. Math. Soc.,2008

2. Weighted Fourier inequalities; new proof and generalizations;Benedetto;J. Fourier Anal. Appl.,2003

3. Interpolation Spaces;Bergh,1976

4. Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity;Bourgain;Int. Math. Res. Not.,1998

5. New Global Well-posedness Results for Nonlinear Schrödinger Equations;Bourgain,1999

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1. Well-posedness for the 1D cubic nonlinear Schrödinger equation in Lp, p>2;Nonlinear Analysis;2023-01

2. Global well-posedness for the fourth-order Hartree-type Schrödinger equation with Cauchy data in $ L^{p} $;Mathematical Control and Related Fields;2023

3. On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data;Journal of Functional Analysis;2022-03

4. Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in Lp-based Sobolev spaces;Journal of Mathematical Physics;2021-07-01

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