Title of article :
Attractors for parabolic problems in weighted spaces
Author/Authors :
LI, Xiaojun Hohai University - School of Science, China , TANG, Ying Hohai University - School of Science, China
From page :
959
To page :
969
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.
Keywords :
Attractor , parabolic equation , singular initial data , weighted space
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
Record number :
2531424
Link To Document :
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