Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations

作     者：Ya-dongShang Bo-lingGuo 

作者机构：DepartmentofMathematicsGuangzhouUniversityGuangzhou510405China InstituteofAppliedPhysicsandComputationalMathematicsP.O.Box8009Beijing100088China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2004年第20卷第2期

页      面：247-256页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (No.10271034) 

主　　题：Nonlinear Sobolev-Galpern equations asymptotic behavior global attractor energy equation weak continuity 

摘      要：This paper deals with the asymptotic behavior of solutions for the nonlinear *** first show the existence of the global weak attractor in H^2(Ω)∩H_0~1(Ω) for the *** by an energy equation we prove that the global weak attractor is actually the global strong ***-dimensionality of the global attractor is also established.