Blow-up solutions for non-scale-invariant nonlinear Schr\"odinger equation in one dimension
Analysis of PDEs
2022-03-01 v1
Abstract
In this paper, we consider the mass-critical nonlinear Schr\"odinger equation in one dimension. Ogawa--Tsutsumi [19] proved a blow-up result for negative energy solution by using a scaling argument for initial data. By the reason, the method cannot be used to an equation with a linear potential. So, we modify the proof and get that for the equation with the linear potential.
Keywords
Cite
@article{arxiv.2202.13655,
title = {Blow-up solutions for non-scale-invariant nonlinear Schr\"odinger equation in one dimension},
author = {Masaru Hamano and Masahiro Ikeda and Shuji Machihara},
journal= {arXiv preprint arXiv:2202.13655},
year = {2022}
}
Comments
10 pages