A generalized interpolation inequality and its application to the stabilization of damped equations

Bégout, Pascal and Soria, Fernando (2007) A generalized interpolation inequality and its application to the stabilization of damped equations. Communication in Partial Differential Equations, 240 (2). pp. 324-356.

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Official URL: http://tse-fr.eu/pub/10532

Abstract

In this paper, we establish a generalized Hölder's or interpolation inequality for weighted spaces in which the weights are non-necessarily homogeneous. We apply it to the stabilization of some damped wave-like evolution equations. This allows obtaining explicit decay rates for smooth solutions for more general classes of damping operators. In particular, for 1−d models, we can give an explicit decay estimate for pointwise damping mechanisms supported on any strategic point.

Item Type: Article
Language: English
Date: September 2007
Refereed: Yes
Uncontrolled Keywords: Damped equations, Damping control, Generalized Hölder's inequality, Interpolation inequality, Stabilization
Subjects: B- ECONOMIE ET FINANCE
Divisions: Toulouse School of Economics - TSE
Site: UT1
Date Deposited: 18 Jan 2012 05:58
Last Modified: 18 Oct 2017 15:17
OAI ID: oai:tse-fr.eu:10532
URI: http://publications.ut-capitole.fr/id/eprint/3060

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