| 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
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11261027; 11161026) and Longyuan Youth Innovative Talents Support Programs of 2014. |
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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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