Higher order asymptotics for the nonlinear Schrödinger equation

2024/12/12 by Liu, Jiaqi, Yang, Changhua
#35Q15 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.08943

Abstract

In this paper we compute the higher order long time asymptotics of the defocussing nonlinear Schrödinger equation using the ∂-nonlinear steepest descent method. We assume initial condition in weighted Sobolev space with finite order of regularity and decay.

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