Global existence and blow-up for the variable coefficient Schrödinger equations with a linear potential

2024/11/18 by Zheng, Bowen, Ozawa, Tohru
#35B44 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.11334

Abstract

In this paper, we study a class of variable coefficient Schrödinger equations with a linear potential i∂_tu+∇⋅(|x|^b∇ u)-V(x)u=-|x|^c|u|^pu, where 2-n<b></b>

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