Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||A Dispersive System Of Long Waves In Weighted Sobolev Spaces|
|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).|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.