On the radius of spatial analyticity for defocusing nonlinear Schrödinger equations

2019/02/27 by Ahn, Jaeseop, Kim, Jimyeong, Seo, Ihyeok · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.10622

Abstract

In this paper we study spatial analyticity of solutions to the defocusing nonlinear Schrödinger equations iu_t + Δu = |u|^p-1u, given initial data which is analytic with fixed radius. It is shown that the uniform radius of spatial analyticity of solutions at later time t cannot decay faster than 1/|t| as |t|→∞. This extends the previous work of Tesfahun for the cubic case p=3 to the cases where p is any odd integer greater than 3.

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