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|Type:||Artigo de Periódico|
|Title:||The Ivp For The Benjamin-ono-zakharov-kuznetsov Equation In Low Regularity Sobolev Spaces|
|Abstract:||In this paper we study the initial-value problem associated with the Benjamin-Ono-Zakharov-Kuznetsov equation. Such equation appears as a two-dimensional generalization of the Benjamin-Ono equation when transverse effects are included via weak dispersion of Zakharov-Kuznetsov type. We prove that the initial value problem is locally well-posed in the usual L-2(R-2)-based Sobolev spaces H-s (R-2), s > 11/8, and in some weighted Sobolev spaces. To obtain our results, most of the arguments are accomplished taking into account the ones for the Benjamin-Ono equation. (C) 2016 Elsevier Inc. All rights reserved.|
|Editor:||ACADEMIC PRESS INC ELSEVIER SCIENCE|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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