Persistence property in weighted Sobolev spaces for nonlinear dispersive equations

2013/03/28 by Xavier Carvajal, Carvajal, Xavier, Wladimir Neves +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1303.7123

25 pages

arxiv created 2013/03/28 · openalex publication_date 2013/03/28 · arxiv updated 2013/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize the Abstract Interpolation Lemma proved by the authors in [2]. Using this extension, we show in a more general context, the persistence property for the generalized Korteweg-de Vries equation, see (1.2), in the weighted Sobolev space with low regularity in the weight. The method used can be applied for other nonlinear dispersive models, for instance the multidimensional nonlinear Schrodinger equation.

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