Document Type

Article

Publication Date

3-1-2000

Abstract

The question of globalization of solutions of the Cauchy problem for some generalizations of Kadomtsev-Petviashvili equations of the form (ut + upux -Dαxux)x + εuyy = 0, where Dx = (- ∂2x)1/2 and ε = ± 1 is examined. It is shown that for ε = -1 and α ≥ 2, a global estimate on solutions can be derived for large initial data provided that p < 4α/4 + α. A consequence of this is that if a is large enough, the local solution in Hs(ℝ2) can be globally continued. © 2000 Academic Press.

Publication Source (Journal or Book title)

Journal of Mathematical Analysis and Applications

First Page

64

Last Page

84

Download

Share

COinS