Journal of Applied Mathematics

Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions

Zhao-hui Fan

Full-text: Open access

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()×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()×Lq(Γ). Finally, we show the exponential attractor in (H1()Lp())×Lq(Γ).

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 389863, 6 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807875

Digital Object Identifier
doi:10.1155/2013/389863

Mathematical Reviews number (MathSciNet)
MR3033566

Zentralblatt MATH identifier
1266.35115

Citation

Fan, Zhao-hui. Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions. J. Appl. Math. 2013 (2013), Article ID 389863, 6 pages. doi:10.1155/2013/389863. https://projecteuclid.org/euclid.jam/1394807875


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