Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on R^n
Analysis of PDEs
2009-03-31 v1 Dynamical Systems
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.
Cite
@article{arxiv.0903.5014,
title = {Pullback Attractors for Non-autonomous Reaction-Diffusion Equations on R^n},
author = {Bixiang Wang},
journal= {arXiv preprint arXiv:0903.5014},
year = {2009}
}