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|Type:||Artigo de periódico|
|Title:||On the Schrodinger-Boussinesq system with singular initial data|
|Abstract:||We study the existence of local and global solutions for coupled Schrwodinger-Boussinesq systems with initial data in weak-L-r spaces. These spaces contain singular functions with infinite L-2-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-L-r with r > 2 have local finite L-2-mass, the solutions obtained can be physically realized. Moreover, for initial data in H-s, local solutions belong to H-s which shows that the constructed data-solution map in weak-L-r recovers H-s-regularity. (C) 2012 Elsevier Inc. All rights reserved.|
Local and global solutions
|Editor:||Academic Press Inc Elsevier Science|
|Appears in Collections:||Artigos e Materiais de Revistas Científicas - Unicamp|
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