Persistence property in weighted Sobolev spaces for nonlinear dispersive equations
Analysis of PDEs
2013-03-29 v1
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.
Cite
@article{arxiv.1303.7123,
title = {Persistence property in weighted Sobolev spaces for nonlinear dispersive equations},
author = {Xavier Carvajal and Wladimir Neves},
journal= {arXiv preprint arXiv:1303.7123},
year = {2013}
}
Comments
25 pages