Eventual differentiability of a string with local Kelvin-Voigt damping

Kangsheng Liu, Zhuangyi Liu, Qiong Zhang

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


In this paper, we study a wave equation with local Kelvin-Voigt damping, which models one-dimensional wave propagation through two segments consisting of an elastic and a viscoelastic medium. Under the assumption that the damping coefficients change smoothly near the interface, we prove that the semigroup corresponding to the system is eventually differentiable.

Original languageEnglish (US)
Pages (from-to)443-454
Number of pages12
JournalESAIM - Control, Optimisation and Calculus of Variations
Issue number2
StatePublished - Apr 1 2017

Bibliographical note

Publisher Copyright:
© EDP Sciences, SMAI 2017.


  • Eventual differentiability of semigroup
  • Local Kelvin-Voigt damping
  • Semigroup


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