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|Type:||Artigo de periódico|
|Title:||The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces|
|Abstract:||In this paper we study the initial-value problem associated with the Benjamin-Ono-Zakharov-Kuznetsov equation. We prove that the IVP for such equation is locally well-posed in the usual Sobolev spaces H-s (R-2), s > 2, and in the anisotropic spaces H-s1,H-s2 (R-2), s(2) > 2, s(1) >= s(2). We also study the persistence properties of the solution and local well-posedness in the weighted Sobolev class Z(s,r) = H-s (R-2) boolean AND L-2 ((1 + x(2) + y(2))(tau) dx dy), where s > 2, r >= 0, and s >= 2r. Unique continuation properties of the solution are also established. These continuation principles show that our persistence properties are sharp. (C) 2014 Elsevier Inc. All rights reserved.|
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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