Turkish Journal of Mathematics
Abstract
The purpose of this paper is to investigate the asymptotic behavior of the solutions of parabolic equations with singular initial data in weighted spaces L^r_{\delta(x)}(\Omega) where \delta(x) is the distance to the boundary. We first establish the existence of the attractor for that equation in L^r_{\delta(x)}(\Omega) and then show the existence of the exponential attractor in L^2_{\delta(x)}(\Omega). In contrast to our previous results, we get the existence of attractors in weak topology spaces.
DOI
10.3906/mat-1206-24
Keywords
Attractor, parabolic equation, singular initial data, weighted space
First Page
959
Last Page
969
Recommended Citation
LI, X, & TANG, Y (2013). Attractors for parabolic problems in weighted spaces. Turkish Journal of Mathematics 37 (6): 959-969. https://doi.org/10.3906/mat-1206-24
