| Volume 6, Number 1, 2016, Pages 242-253 DOI：10.11948/2016020 |
| Pullback exponential attractors for nonautonomous dynamical system in space of higher regularity |
| Yongjun Li,Tinggang Zhao,Hongqing Wu,Jinying Wei |
| Keywords:Nonautonomous dynamical system fractal dimension pullback exponential attractors reaction diffusion equation. |
| Abstract: |
| Under what condition, a process which exists a $(E,E)$-pullback exponential attractor implies the existence of $(E,V)$- pullback exponential attractor when $V$ embedded in $E$? We answer this question in this paper. As an application of this result, we prove the existence of pullback exponential attractor for a nonlinear reaction-diffusion equation with a polynomial growth nonlinearity in $L^q(\Omega)(\forall q\geq 2)$ and $H_0^1(\Omega)$. |
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