Persistence of solutions to higher order nonlinear Schrödinger equation

2010/03/18 by Xavier Carvajal, Carvajal, Xavier, Wladimir Neves +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1003.3585

arxiv created 2010/03/18 · openalex publication_date 2010/03/18 · arxiv updated 2010/03/19 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Applying an Abstract Interpolation Lemma, we can show persistence of solutions of the initial value problem to higher order nonlinear Schrödinger equation, also called Airy-Schrödinger equation, in weighted Sobolev spaces X^2,θ, for 0 ≤ θ≤ 1.

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