Existence of Exponential Attractors for Semigroup in Banach Space
Received:June 05, 2014  Revised:November 22, 2014
Key Words: dynamical system   exponential attractors   fractal dimension   measure of Non-compactness  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11261027; 11161026) and Longyuan Youth Innovative Talents Support Programs of 2014.
Author NameAffiliation
Yongjun LI School of Mathematics, Lanzhou City University, Gansu 730070, P. R. China 
Xiaoxian ZHANG School of Mathematics, Lanzhou City University, Gansu 730070, P. R. China 
Zilong ZANG School of Mathematics, Lanzhou City University, Gansu 730070, P. R. China 
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Abstract:
      We construct an exponential attractor for semigroup in Banach space by using $\omega$-limit compactness method and provide a new method to prove the existence of an exponential attractor in uniformly convex Banach space. As a simple application, we prove the existence of an exponential attractor for reaction diffusion equations.
Citation:
DOI:10.3770/j.issn:2095-2651.2015.02.008
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