๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Attractors for the non-autonomous nonclassical diffusion equations with fading memory

โœ Scribed by Xuan Wang; Chengkui Zhong

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
775 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Attractors of the non-autonomous reactio
Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition
โœ Lu Yang; Mei-Hua Yang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

In this paper, we study the long-time behavior of the non-autonomous reaction-diffusion equation with nonlinear boundary condition and competing nonlinearities. Under the balance conditions between internal and boundary nonlinear terms, which have been proved in Rodrรญguez-Bernal and Tajdine (2001) [

-boundedness of the pullback attractor f
-boundedness of the pullback attractor for a non-autonomous reactionโ€“diffusion equation
โœ M. Anguiano; T. Caraballo; J. Real ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 397 KB

We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H 2 -boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a nonautonomous reaction-diffusion equati