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Higher order asymptotics for the linear Schrödinger equation

YANG Changhua, LIU Jiaqi   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
  • Received:2024-12-31 Revised:2025-03-31

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

Key words: linear Schrdinger equation, Riemann-Hilbert problem, nonlinear steepest descent method, higher order asymptotics

CLC Number: