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Pullback attractors for non-autonomous reaction-diffusion equations on ℝ n .
- Source :
-
Frontiers of Mathematics in China . Sep2009, Vol. 4 Issue 3, p563-583. 21p. - Publication Year :
- 2009
-
Abstract
- We study the long time behavior of solutions of the non-autonomous reaction-diffusion equation defined on the entire space ℝ n when external terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in L 2(ℝ n ) and H 1(ℝ n ), respectively. The pullback asymptotic compactness of solutions is proved by using uniform a priori estimates on the tails of solutions outside bounded domains. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16733452
- Volume :
- 4
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Frontiers of Mathematics in China
- Publication Type :
- Academic Journal
- Accession number :
- 49774869
- Full Text :
- https://doi.org/10.1007/s11464-009-0033-5