We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term η utt, where η (0, 1]. We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in H4 (I) × {H2(I) ∩ H0 1(I) }.
Hyperbolic relaxation of a fourth order evolution equation / Colucci, Renato; Chacón, Gerardo R.. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 2013:(2013), pp. 1-11. [10.1155/2013/372726]
Hyperbolic relaxation of a fourth order evolution equation
Colucci, Renato;
2013-01-01
Abstract
We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term η utt, where η (0, 1]. We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in H4 (I) × {H2(I) ∩ H0 1(I) }.File in questo prodotto:
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