Artículos de revistas
On the Schrodinger-Boussinesq system with singular initial data
Registro en:
Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 400, n. 2, n. 487, n. 496, 2013.
0022-247X
WOS:000314075600016
10.1016/j.jmaa.2012.10.047
Autor
Banquet, C
Ferreira, LCF
Villamizar-Roa, EJ
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. 400 2 487 496 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)