Publication: Stabilization beyond the distributions
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2009
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Sánchez Palencia, Evariste
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Real Academia Ciencias Exactas Físicas Y Naturales
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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.
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