Existence and nonexistence of global solutions for time-dependent damped NLS equations
Analysis of PDEs
2023-09-06 v1 Mathematical Physics
math.MP
Abstract
We investigate the Cauchy problem for the nonlinear Schr\"odinger 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].
Keywords
Cite
@article{arxiv.2309.00849,
title = {Existence and nonexistence of global solutions for time-dependent damped NLS equations},
author = {Makram Hamouda and Mohamed Majdoub},
journal= {arXiv preprint arXiv:2309.00849},
year = {2023}
}
Comments
To appear in Communications on Pure and Applied Analysis