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Type: Artigo de periódico
Title: On The Schrödinger-boussinesq System With Singular Initial Data
Author: Banquet C.
Ferreira L.C.F.
Villamizar-Roa E.J.
Abstract: We study the existence of local and global solutions for coupled Schrödinger-Boussinesq systems with initial data in weak-Lr spaces. These spaces contain singular functions with infinite L2-mass such as homogeneous functions of negative degree. Moreover, we analyze the self-similarity and radial symmetry of solutions by considering initial data with the right homogeneity and radially symmetric, respectively. Since functions in weak-Lr with r>2 have local finite L2-mass, the solutions obtained can be physically realized. Moreover, for initial data in Hs, local solutions belong to Hs which shows that the constructed data-solution map in weak-Lr recovers Hs-regularity. © 2012 Elsevier Ltd.
Rights: fechado
Identifier DOI: 10.1016/j.jmaa.2012.10.047
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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