Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616710 | Journal of Mathematical Analysis and Applications | 2013 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Carlos Banquet, Lucas C.F. Ferreira, Elder J. Villamizar-Roa,