Stabilization beyond the distributions



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Díaz Díaz, Jesús Ildefonso and Sánchez Palencia, Evariste (2009) Stabilization beyond the distributions. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A: Matemáticas, 103 (1). pp. 167-175. ISSN 1578-7303

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We prove that for Suitable evolution problems, the solution u(t) corresponding to some right hand side term f(t) in V' (with V some Hilbert space). only satisfies the stabilization property (f(t) -> f(infinity) in V' implies that u(t) -> u(infinity), in V, when t -> +infinity, with u(infinity) solution of the associated stationary problem) when the space V is taken strictly larger than the distribution space. This type of problems arise, for instance, in the study of some quasi-stationary viscoelastic shell-like problems in the presence of friction effects.

Item Type:Article
Uncontrolled Keywords:stabilization; more general than distributions; like-shell problems
Subjects:Sciences > Mathematics > Differential equations
ID Code:15171
Deposited On:10 May 2012 08:34
Last Modified:12 Dec 2018 15:07

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