Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 6
Attractors for parabolic problems in weighted spaces
- Pages
- 959–969
- DOI
- —
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 Lrd(x)(W) where d(x) is the distance to the boundary. We first establish the existence of the attractor for that equation in Lrd(x)(W) and then show the existence of the exponential attractor in L2d(x)(W). In contrast to our previous results, we get the existence of attractors in weak topology spaces.
Özet
The purpose of this paper is to investigate the asymptotic behavior of the solutions of parabolic equations with singular initial data in weighted spaces Lrd(x)(W) where d(x) is the distance to the boundary. We first establish the existence of the attractor for that equation in Lrd(x)(W) and then show the existence of the exponential attractor in L2d(x)(W). In contrast to our previous results, we get the existence of attractors in weak topology spaces.