We study the asymptotic behavior of a singularly perturbed fourth order evolution equation related to the regularization of an ill posed equation encountering forward and backward diffusion. In particular we prove the existence of an exponential attractor and give an estimate of its dimension.

Asymptotic behavior of a fourth order evolution equation / Colucci, Renato; Chacón, Gerardo R.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 95:(2014), pp. 66-76. [10.1016/j.na.2013.08.030]

Asymptotic behavior of a fourth order evolution equation

Colucci, Renato;
2014-01-01

Abstract

We study the asymptotic behavior of a singularly perturbed fourth order evolution equation related to the regularization of an ill posed equation encountering forward and backward diffusion. In particular we prove the existence of an exponential attractor and give an estimate of its dimension.
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/265770
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