Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness-Reference-Cited by-同舟云学术

Energy critical Schrödinger equation with weighted exponential nonlinearity: Local and global well-posedness

Published:2018-12 Issue:04 Volume:15 Page:599-621
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Bensouilah Abdelwahab¹,Draouil Dhouha²,Majdoub Mohamed³

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. Laboratoire EDP (LR03ES04), Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092 Tunis, Tunisie

3. Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam, Saudi Arabia

Abstract

We investigate the initial value problem for a defocusing nonlinear Schrödinger equation with weighted exponential nonlinearity [Formula: see text] where [Formula: see text] and [Formula: see text]. We establish local and global well-posedness in the subcritical and critical regimes.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891618500194

Reference24 articles.

1. Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents

2. Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

3. Equations de Schrödinger non linéaires en dimension deux

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Well-posedness and scattering for a 2D inhomogeneous NLS with Aharonov-Bohm magnetic potential;Journal of Mathematical Analysis and Applications;2024-12

2. Long‐time dynamics for the radial focusing fractional INLS;Mathematical Methods in the Applied Sciences;2023-08-15

3. Scattering in the weighted \begin{document}$ L^2 $\end{document}-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity;Communications on Pure & Applied Analysis;2019