Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions

Zhao-hui Fan

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in L2(Ω) × L2(Γ) by proving that the corresponding semigroup satisfies the enhanced flattering property. Second, we apply asymptotic a priori estimate and obtain the exponential attractor in Lp(Ω) × Lq(Γ). Finally, we show the exponential attractor in (H1(Ω)∩Lp(Ω)) × Lq(Γ).

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/389863

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:389863

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().