Existence and nonexistence of global solutions for time-dependent damped NLS equations

IF 1 3区数学 Q1 MATHEMATICS Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI:10.3934/cpaa.2023100

Makram Hamouda, Mohamed Majdoub

引用次数: 1

Abstract

We investigate the Cauchy problem for the nonlinear Schrödinger equation with a time-dependent linear damping term. Under non standard assumptions on the loss dissipation, we prove the blow-up in the inter-critical regime, and the global existence in the energy subcritical case. Our results generalize and improve the ones in [9,11,21].

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时变阻尼NLS方程整体解的存在性与不存在性

研究了具有时变线性阻尼项的非线性Schrödinger方程的Cauchy问题。在非标准损耗耗散假设下，证明了临界间区域的爆破性，以及能量次临界情况下的全局存在性。我们的结果推广并改进了文献[9,11,21]中的结果。

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来源期刊

Communications on Pure and Applied Analysis 数学-数学

CiteScore

1.90

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： CPAA publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal''s highest standard and closest link to the scientific communities.

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