Artículos de revistas
Existence and scattering theory for Boussinesq type equations with singular data
Registro en:
Journal Of Differential Equations. Academic Press Inc Elsevier Science, v. 250, n. 5, n. 2372, n. 2388, 2011.
0022-0396
WOS:000286699700005
10.1016/j.jde.2010.11.013
Autor
Ferreira, LCF
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) We study the initial value problem for the generalized Boussinesq equation and prove existence of local and global solutions with singular initial data in weak-L(P) spaces. Our class of initial data for global existence is larger than that of Cho and Ozawa (2007) [7]. Long time behavior results are obtained and a scattering theory is proved in that framework. With more structure, we show Sobolev H(1) and Lorentz-type L((p,q)) regularity properties for the obtained solutions. The approach employed is unified for all dimensions n >= 1. (C) 2010 Elsevier Inc. All rights reserved. 250 5 2372 2388 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)