Energy decay of dissipative plate equations with memory-type boundary conditions | Zendy

Muhammad I. Mustafa | Zendy

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Energy decay of dissipative plate equations with memory-type boundary conditions

Author(s) -

Muhammad I. Mustafa

Publication year - 2016

Publication title -

asymptotic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.576

H-Index - 45

eISSN - 1875-8576

pISSN - 0921-7134

DOI - 10.3233/asy-161385

Subject(s) - dissipative system , boundary (topology) , type (biology) , physics , boundary value problem , energy (signal processing) , mathematical analysis , mechanics , classical mechanics , mathematics , geology , thermodynamics , quantum mechanics , paleontology

In this paper we consider a plate equation with internal feedback and viscoelastic damping localized on a part of the boundary. Without imposing restrictive assumptions on the time-dependent frictional damping, we establish an explicit and general decay rate result that allows a wider class of relaxation functions and generalizes previous results existing in the literature.

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