Optimal decay result for Kirchhoff plate equations with nonlinear damping and very general type of relaxation functions

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19 Scopus citations

Abstract

In this paper, we consider plate equations with viscoelastic damping localized on a part of the boundary and nonlinear damping in the domain. We establish general and optimal decay rate results for a wider class of relaxation functions. These results are obtained without imposing any restrictive growth assumption on the frictional damping term. Our results are more general than the earlier results.

Original languageEnglish
Article number82
JournalBoundary Value Problems
Volume2019
Issue number1
DOIs
StatePublished - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019, The Author(s).

Keywords

  • Convexity
  • Optimal decay
  • Plate equations
  • Viscoelastic

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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