Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899806 | Journal of Mathematical Analysis and Applications | 2018 | 16 Pages |
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 H1âH1, 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
Qihong Shi, Shu Wang,