The Cauchy problem for the DMKP equation
Analysis of PDEs
2011-03-08 v1
Abstract
In this work, we study the dissipation-modified Kadomtsev-Petviashvili equation in two space-dimensional case. We establish that the Cauchy problem for this equation is locally well-posed in anisotropic Sobolev spaces. We show in some sense that our result is sharp. We also prove the global well-posedness for this equation under suitable conditions.
Keywords
Cite
@article{arxiv.1103.1292,
title = {The Cauchy problem for the DMKP equation},
author = {Amin Esfahani},
journal= {arXiv preprint arXiv:1103.1292},
year = {2011}
}
Comments
19 pages. Submitted