Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/87011
Type: Artigo
Title: The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces
Title Alternative: 
Author: Cunha, Alysson
Pastor, Ademir
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 Hs(R2), s>2, and in the anisotropic spaces Hs1,s2(R2), s2>2, s1≥s2. We also study the persistence properties of the solution and local well-posedness in the weighted Sobolev classZs,r=Hs(R2)∩L2((1+x2+y2)rdxdy), 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. © 2014 Elsevier Inc.
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 Hs(R2), s>2, and in the anisotropic spaces Hs1,s2(R2), s2>2, s1≥s2. We also study the persistence properties of the solution and local well-posedness in the weighted Sobolev classZs,r=Hs(R2)∩L2((1+x2+y2)rdxdy), 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
Subject: Benjamin–Ono–Zakharov–Kuznetsov, Equação de
Sobolev, Espaços de
Cauchy, Problema de
Boa-colocação local
Country: Estados Unidos
Editor: Elsevier
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc., v. 417, n. 2, p. 660 - 693, 2014.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2014.03.056
Address: https://www.sciencedirect.com/science/article/pii/S0022247X14002844
Date Issue: 2014
Appears in Collections:IMECC - Artigos e Outros Documentos

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