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Viscoelastic plate equation with boundary feedback

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In this paper we consider a viscoelastic plate equation with a nonlinear weakly dissipative feedback localized on a part of the boundary. Without imposing restrictive assumptions on the boundary frictional… Click to show full abstract

In this paper we consider a viscoelastic plate equation with a nonlinear weakly dissipative feedback localized on a part of the boundary. Without imposing restrictive assumptions on the boundary 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.

Keywords: equation boundary; viscoelastic plate; feedback; plate equation

Journal Title: Evolution Equations and Control Theory
Year Published: 2017

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