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A Remark on Partly Dissipative Reaction Diffusion Systems on IR^n

A Remark on Partly Dissipative Reaction Diffusion Systems on IR^n
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摘要 The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact (L^2 × L^2 - H^1 × L^2) attractor for a partly dissipative reaction diffusion system in Rn. This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L^2 × L^2 - L^2 × L^2) attractor for the same system. The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact (L^2 × L^2 - H^1 × L^2) attractor for a partly dissipative reaction diffusion system in Rn. This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L^2 × L^2 - L^2 × L^2) attractor for the same system.
作者 Xue-ke Pu
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2008年第4期583-588,共6页 应用数学学报(英文版)
基金 Supported by the Key Teachers Foundation of Chongqing University(No.2003018) the Key Teachers Foundation of Universities in Chongqing(No.20020126).
关键词 Reaction diffusion equation ATTRACTOR asymptotic compactness Reaction diffusion equation, attractor, asymptotic compactness
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