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Type: Artigo de periódico
Title: On the Schrodinger-Boussinesq system with singular initial data
Author: Banquet, C
Ferreira, LCF
Villamizar-Roa, EJ
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.
Subject: Schrodinger-Boussinesq systems
Local and global solutions
Weak-L-p spaces
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 400, n. 2, n. 487, n. 496, 2013.
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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