Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in R2
Bassam Kojok
Abstract
We prove global well-posedness for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers equation (KPBII) in R2 when the initial value belongs to the anisotropic Sobolev space Hs1,s2( R2) for all s1>-12 and s2≥0. On the other hand, we prove in some sense that our result is sharp.
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