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Stabilization of weakly coupled viscoelastic Kirchhoff plate and wave equations (2211.10329v2)
Published 18 Nov 2022 in math.AP
Abstract: In this paper, we consider a weakly coupled system consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave equation with Dirichlet boundary conditions in a bounded domain. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions.