Stabilization of the weakly coupled plate equations with a locally distributed damping

Autor:	Xianzheng Zhu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Coupled plate equations Indirect damping Logarithmic decay Carleman estimate Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02677-y
Popis:	Abstract In this paper, we study the indirect stabilization of a system of plate equations which are weakly coupled and locally damped. By virtue of the general results due to Burq in the study of asymptotic behavior of solutions, we prove that the semigroup associated to the system is logarithmically stable under some assumptions on the damping and the coupling terms. For this purpose, we adopt an approach based on the growth of the resolvent on the imaginary axis, which can be obtained by some Carleman estimates.
Databáze:	Directory of Open Access Journals
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