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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… Click to show full 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.
Keywords:
equations locally;
coupled plate;
stabilization weakly;
locally distributed;
plate equations;
weakly coupled
Journal Title: Advances in Difference Equations
Year Published: 2020
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Journal Title: Advances in Difference Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!