Article ID Journal Published Year Pages File Type
4616710 Journal of Mathematical Analysis and Applications 2013 10 Pages PDF
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
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