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2013 Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions
Zhao-hui Fan
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/389863


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).


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Zhao-hui Fan. "Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions." J. Appl. Math. 2013 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.35115
MathSciNet: MR3033566
Digital Object Identifier: 10.1155/2013/389863

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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