Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81735
Type: Artigo
Title: On well-posedness and wave operator for the gKdV equation
Author: Farah, Luiz G.
Pastro, Ademir
Abstract: We consider the generalized Korteweg-de Vries (gKdV) equation partial derivative(t)u + partial derivative(3)(x)u + mu partial derivative(x)(u(k+1)) = 0, where k > 4 is an integer number and mu = +/- 1. We give an alternative proof of the Kenig, Ponce and Vega result in Kenig, Ponce and Vega (1993) [9], which asserts local and global well-posedness in (H) over dot(sk) (R), with s(k) = (k similar to 4)/2k. A blow-up alternative in suitable Strichartz-type spaces is also established. The main. tool is a new linear estimate. As a consequence, we also construct a wave operator in the critical space (H) over dot(sk) (R), extending the results of Cote (2006) [2]. (C) 2012 Elsevier Masson SAS. All rights reserved.
We consider the generalized Korteweg-de Vries (gKdV) equation partial derivative(t)u + partial derivative(3)(x)u + mu partial derivative(x)(u(k+1)) = 0, where k > 4 is an integer number and mu = +/- 1. We give an alternative proof of the Kenig, Ponce and
Subject: Equação de Korteweg-de Vries
Boa-colocação global
Country: França
Editor: Elsevier
Citation: Bulletin Des Sciences Mathematiques. Gauthier-villars/editions Elsevier, v. 137, n. 3, n. 229, n. 241, 2013.
Rights: Aberto
Identifier DOI: 10.1016/j.bulsci.2012.04.002
Address: https://www.sciencedirect.com/science/article/pii/S0007449712000395
Date Issue: 2013
Appears in Collections:IMECC - Artigos e Outros Documentos

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