This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Intro- ducing an appropriate Lyapunov function, we prove that when the damping is linear, we can find initial data, for which the solution decays exponentially. This result improves an early one in .
|Original language||English (US)|
|Number of pages||8|
|Journal||Discrete and Continuous Dynamical Systems - Series S|
|State||Published - Oct 21 2011|
ASJC Scopus subject areas
- Applied Mathematics
- Discrete Mathematics and Combinatorics