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Non-autonomous attractors for singularly perturbed parabolic equations on

✍ Scribed by Kasimir Gabert; Bixiang Wang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
388 KB
Volume
73
Category
Article
ISSN
0362-546X

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✦ Synopsis

We study the asymptotic behavior of solutions of a class of singularly perturbed nonautonomous parabolic equations defined on R n with unbounded external terms. We first prove the existence of a pullback attractor for the perturbed equation in L 2 (R n ) and then establish the upper semicontinuity of these attractors as small perturbations approach zero. The uniform estimates on the tails of solutions are used to overcome the difficulty caused by the non-compactness of Sobolev embeddings on unbounded domains.

πŸ“œ SIMILAR VOLUMES

On a Recursive Approximation of Singular
On a Recursive Approximation of Singularly Perturbed Parabolic Equations
✍ J. Struckmeier; A. Unterreiter πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 165 KB

The asymptotic analysis of IBVPs for the singularly perturbed parabolic PDE Ρ¨ u q Ρ¨ u s Ρ¨ u in the limit Βͺ 0 motivates investigations of certain recur- Ε½ . sively defined approximative series ''ping-pong expansions'' . The recursion formulae rely on operators assigning to a boundary condition at th