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|Type:||Artigo de periódico|
|Title:||On The Schrödinger-boussinesq System With Singular Initial Data|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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