Upper semi-continuity of attractors for multivalued semi-flow under random perturbation  

作　　者：李挺 刘曾荣 

机构地区：[1]Department of Mathematics, Suzhou University, Suzhou 215006, P.R. China [2]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China

出　　处：《Journal of Shanghai University(English Edition)》2006年第4期288-292,共5页上海大学学报（英文版）

基　　金：Project supported by National Natural Science Foundation of China （Grant No. 10571130）

摘　　要：In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.

关 键 词：random attractor upper semi-continuity absorbing set. 

分 类 号：O21[理学—概率论与数理统计]