A NOTE ON KLEIN-GORDON-SCHR&ouml;DINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION

Zhao Caidi; Zhou Shengfan; Li Yongsheng

doi:10.1016/S0252-9602(08)60083-1

Acta mathematica scientia, Series B >

2008 , Vol. 28 >Issue 4: 823 - 833

DOI: https://doi.org/10.1016/S0252-9602(08)60083-1

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A NOTE ON KLEIN-GORDON-SCHRöDINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION

Zhao Caidi ,
Zhou Shengfan ,
Li Yongsheng

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Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035,China

Received date: 2006-04-14

Revised date: 1900-01-01

Online published: 2008-10-20

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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.

Key words： Nonautonomous Klein-Gordon-Schrö; dinger equations; kernel sections; weakly dissipation; uniformly asymptotic compactness

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Zhao Caidi , Zhou Shengfan , Li Yongsheng . A NOTE ON KLEIN-GORDON-SCHRöDINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION[J]. Acta mathematica scientia, Series B, 2008 , 28(4) : 823 -833 . DOI: 10.1016/S0252-9602(08)60083-1

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