Weak stabilization of a transmission Euler-Bernoulli plate equation with force and moment feedback

2013/01/16 by Fathi Hassine, Hassine, Fathi
Computer Science · Engineering · Mathematics · #35A01 #35A02 #35M33 #93D20 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1301.3536

openalex publication_date 2013/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we will study the asymptotic behaviour of the energy decay of a transmission plate equation with force and moment feedback. Precisly, we shall prove that the energy decay at least logarithmically over the time. The method consist to use the classical second order Carleman estimate to estabish a resolvent estimate which provide by the famous Burq's result [Bur98] the kind of decay above mentionned.

Citations

• Stabilisation de l’équation des ondes par le bord

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