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- W2060027644 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." @default.
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- W2060027644 date "2013-04-01" @default.
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- W2060027644 title "On the Schrödinger–Boussinesq system with singular initial data" @default.
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- W2060027644 doi "https://doi.org/10.1016/j.jmaa.2012.10.047" @default.
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