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Type: Artigo
Title: On sharp global well-posedness and ill-posedness for a fifth-order KdV-BBM type equation
Author: Carvajal, X.
Panthee, M.
Abstract: We consider the Cauchy problem associated to the recently derived higher order Hamiltonian model for unidirectional water waves and prove global existence for given data in the Sobolev space Hs, s≥1. We also prove an ill-posedness result by showing that the flow-map is not continuous if the given data has Sobolev regularity s<1. The results obtained in this work are sharp
Subject: Problema de Cauchy
Country: Estados Unidos
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.jmaa.2019.06.045
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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