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A Note on nonautonomous klein-gordon-schrödinger equations with homogeneous dirichlet boundary condition
Authors:Zhao Caidi  Zhou Shengfan  Li Yongsheng
Institution:aDepartment of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China;bDepartment of Applied Mathematics, Shanghai Normal University, Shanghai 200234, China;cSchool of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China
Abstract:This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrödinger equations with homogeneous Dirichlet boundary condition. The authors prove the existence of compact kernel sections for the associated process by using a suitable decomposition of the equations.
Keywords:Nonautonomous Klein-Gordon-Schrö  dinger equations  kernel sections  weakly dissipation  uniformly asymptotic compactness2000 MR Subject Classification: 35B40  35Q55  76D05
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