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Type: Artigo de periódico
Title: A Dispersive System Of Long Waves In Weighted Sobolev Spaces
Author: Pava J.A.
Abstract: In this article we treat the Cauchy problem for the dispersive system of long waves, in weighted Sobolev spaces. It is shown that this problem is locally well-posed in Hs(ℝ)×Hs-1(ℝ) ∩ L2 γ (ℝ) × H-1 γ (ℝ) for > 3/2 and 0 ≦ γ ≦ s.The proof involves parabolic regularization and techniques of Bona-Smith. It is also determined, using the orbital stability of the special solitary-wave solutions of this system, that we can extend globally the local solution for data sufficiently close to the solitary wave in the norm H1 (ℝ) × L2 (ℝ).
Rights: fechado
Identifier DOI: 
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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