Sharp local well-posedness of KdV type equations with dissipative perturbations
Analysis of PDEs
2013-10-16 v2
Abstract
In this work, we study the initial value problems associated to some linear perturbations of KdV equations. Our focus is in the well-posedness issues for initial data given in the -based Sobolev spaces. We derive bilinear estimate in a space with weight in the time variable and obtain sharp local well-posedness results.
Cite
@article{arxiv.1304.6640,
title = {Sharp local well-posedness of KdV type equations with dissipative perturbations},
author = {Xavier Carvajal and Mahendra Panthee},
journal= {arXiv preprint arXiv:1304.6640},
year = {2013}
}
Comments
26 pages