Article ID Journal Published Year Pages File Type
8899806 Journal of Mathematical Analysis and Applications 2018 16 Pages PDF
Abstract
In this paper we study the nonrelativistic limit of the Cauchy problem for the damped and the conserved Klein-Gordon-Schrödinger (KGS) system, respectively. We prove that any finite energy solution to the damped KGS system converges to the one of Yukawa-Schrödinger (YS) system in the energy space H1⊕H1, and the solution to the conserved system goes to the corresponding one of a nonlinear Schrödinger (NLS) equation as well.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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