On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential-Reference-Cited by-同舟云学术

On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential

Published:2018-10 Issue:10 Volume:59 Page:101505
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Bensouilah Abdelwahab¹,Dinh Van Duong²^ORCID,Zhu Shihui³^ORCID

Affiliation:

1. Laboratoire Paul Painlevé (U.M.R. CNRS 8524), U.F.R. de Mathématiques, Université Lille 1, 59655 Villeneuve d’Ascq Cedex, France

2. Institut de Mathematiques de Toulouse UMR5219, Université de Toulouse CNRS, 31062 Toulouse Cedex 9, France

3. Department of Mathematics, Sichuan Normal University, Chengdu 610066, China and School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China

Funder

Excellent Youth Foundation of Sichuan Scientific Committee

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5038041

Reference30 articles.

1. Orbital stability of standing waves for some nonlinear Schr�dinger equations

2. Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities

3. Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

4. A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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