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A NOTE ON NONAUTONOMOUS KLEIN-GORDON-SCHRDINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION 被引量:1

A NOTE ON NONAUTONOMOUS KLEIN-GORDON-SCHRDINGER EQUATIONS WITH HOMOGENEOUS DIRICHLET BOUNDARY CONDITION
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摘要 This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrodinger 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. This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrodinger 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2008年第4期823-833,共11页 数学物理学报(B辑英文版)
基金 the NNSFC(10771139 and 10771074) NSF of Wenzhou University(2007L024) NSF of Guangdong Province(004020077)
关键词 Nonautonomous Klein-Gordon-SchrSdinger equations kernel sections weakly dissipation uniformly asymptotic compactness Nonautonomous Klein-Gordon-SchrSdinger equations, kernel sections,weakly dissipation, uniformly asymptotic compactness
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  • 1Hormander L.Lectures on Nonlinear Hyperbolic Differential Equations.Mathematiques et Applications 26.Berlin:Springer Verlag,1997.
  • 2Klainerman S.Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions.Comm Pure Appl Math,1985,38:631-641.
  • 3Moriyama K,Tonegawa S,Tsutsumi Y.Almost global existence of solutions for the quadratic semilinear Klein-Gordon equation in one space dimension.Funkcialaj Ekvacioj,1997,40:313-333.
  • 4Delort J M.Existence globale et comportement asymptotique pour l'equation de Klein-Gordon quasilineaire a donnees petites en dimension 1.Pre publications Mathe matiques de l'Universite Paris,1999,13:99-21.
  • 5Ozawa T,Tsutaya K,Tsutsumi Y.Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions.Math Z,1996,222:341-362.
  • 6Shatah J.Normal forms and quadratic nonlinear Klein-Gordon equations.Comm Pure Appl Math,1985,38:685-696.
  • 7Sunagawa H.On global small amplitude solutions to systems of cubic nonlinear Klein-Gordon equations with different mass terms in one space dimension.J Differential Equation,2003,192:308-325.
  • 8Bony J M.Calcul symbolique et propagation des singularites pour les equations aux derivees partielles non lineaires.Ann Sci Ecole Norm Sup,1980,14:209-246.
  • 9Simon J,Taflin E.The Cauchy problem for nonlinear Klein-Gordon equations.Comm Math Phys,1993,152:433-478.
  • 10Delort J M,Fang D,Xue R.Global existence of small solutions for quadratic quasi-linear Klein-Gordon systems in two space dimensions.J Functional Anal,2004,211:288-323.

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