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Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms

Research output: Contribution to journalJournal articlepeer-review

Abstract

In this work, we are concerned with uniform stabilization for an initial-boundary value problem associated with the Kirchhoff type wave equation with feedback terms and memory condition at the boundary. We prove that the energy decays exponentially when the boundary damping term has a linear growth near zero and polynomially when the boundary damping term has a polynomial growth near zero. Furthermore, we study the decay rate of the energy without imposing any restrictive growth assumption on the damping term near zero.

Original languageEnglish
Pages (from-to)377-415
Number of pages39
JournalJournal of Integral Equations and Applications
Volume30
Issue number3
DOIs
StatePublished - 2018

Keywords

  • Energy decay rates
  • Kirchhoff type wave equation

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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