Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation

2021/08/05 by Aloui, Lassaad, Tayachi, Slim
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.02583

Abstract

In this paper we consider the inhomogeneous nonlinear Schrödinger equation i∂_t u +Δu=K(x)|u|^αu, u(0)=u₀∈ H^s(\mathbb R^N), s=0, 1, N≥ 1, |K(x)|+|x|^s|∇^sK(x)|\lesssim |x|^-b, 0<b></b>

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