数学物理学报(英文版)

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

赵才地; 周盛凡; 李用声   

  1. 温州大学数学与信息学院, 温州 325035
  • 收稿日期:2006-04-14 修回日期:1900-01-01 出版日期:2008-10-20 发布日期:2008-10-20
  • 通讯作者: 赵才地
  • 基金资助:

    Sponsored by the NNSFC(10771139 and 10771074), and by NSF of Wenzhou University (2007L024) and NSF of Guangdong Province (004020077)

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

Zhao Caidi; Zhou Shengfan; Li Yongsheng   

  1. Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035,China
  • Received:2006-04-14 Revised:1900-01-01 Online:2008-10-20 Published:2008-10-20
  • Contact: Zhao Caidi

摘要:

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.

关键词: Nonautonomous Klein-Gordon-Schrö, dinger equations, kernel sections, weakly dissipation, uniformly asymptotic compactness

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

中图分类号: 

  • 35B40