Title :
On pullback attractors in H2 for non-autonomous reaction-diffusion equations
Author :
Hongyan Li ; Weisi Zhang
Author_Institution :
Coll. of Manage., Shanghai Univ. of Eng. Sci., Shanghai, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper we consider H2-regularity of pullback attractors for the reaction-diffusion equation. Firstly, we show that under the suitable conditions, every family of bounded subsets of L2(Ω) which is invariant for the process U, is in fact bounded in H2(Ω). Then, as a consequence, we obtain that the system has a unique continuous periodic solution which attracts any bounded set exponentially.
Keywords :
reaction-diffusion systems; bounded subsets; nonautonomous reaction-diffusion equations; periodic solution; pullback attractors; Agricultural machinery; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; Equations; Force; Laplace equations; Reaction-diffusion equations; periodic solution; pullback attractor;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852254
