Asymptotic behavior of solutions to a dissipative nonlinear Schr\"odinger equation with time dependent harmonic potentials
Analysis of PDEs
2022-05-31 v1
Abstract
We consider the Cauchy problem of a dissipative nonlinear Schr\"odinger equation with a time dependent harmonic potential. We find a critical situation that the -norm of dissipative solutions decays or not and which is decided by a nonlinear power and time decay order of harmonic potential.
Keywords
Cite
@article{arxiv.2205.14605,
title = {Asymptotic behavior of solutions to a dissipative nonlinear Schr\"odinger equation with time dependent harmonic potentials},
author = {Masaki Kawamoto and Takuya Sato},
journal= {arXiv preprint arXiv:2205.14605},
year = {2022}
}