Abstract
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 language | English (US) |
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Pages (from-to) | 443-454 |
Number of pages | 12 |
Journal | ESAIM - Control, Optimisation and Calculus of Variations |
Volume | 23 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1 2017 |
Bibliographical note
Publisher Copyright:© EDP Sciences, SMAI 2017.
Keywords
- Eventual differentiability of semigroup
- Local Kelvin-Voigt damping
- Semigroup