The Cauchy problem for the DMKP equation

Details The Cauchy problem for the DMKP equation The Cauchy problem for the DMKP equation

2011-03-07

arxiv.org/abs/1103.1292v1

Mathematics

Analysis of PDEs

19 pages. Submitted

Scientific paper

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.

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