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arXiv:1103.1292 [math.AP]AbstractReferencesReviewsResources

The Cauchy problem for the DMKP equation

Amin Esfahani

Published 2011-03-07Version 1

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.

Comments: 19 pages. Submitted
Categories: math.AP
Subjects: 35B30, 35Q55, 35Q72
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