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)|
|Number of pages||12|
|Journal||ESAIM - Control, Optimisation and Calculus of Variations|
|State||Published - Apr 1 2017|
- Eventual differentiability of semigroup
- Local Kelvin-Voigt damping