Abstract
We consider the exterior problem in the plane for the wave equation with a Neumann boundary condition and study the asymptotic behavior of the solution for large times. For possible application we are interested to show a decay estimate which does not involve weighted norms of the initial data. In the paper we prove such an estimate, by a combination of the estimate of the local energy decay and decay estimates for the free space solution.
| Original language | English |
|---|---|
| Pages (from-to) | 221-236 |
| Number of pages | 16 |
| Journal | Journal of Differential Equations |
| Volume | 194 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2003 Oct 10 |
| Externally published | Yes |
Keywords
- Asymptotic behavior
- Decay rate
- Exterior domain
- Local energy decay
- Neumann boundary condition
- Wave equation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics