Abstract
We consider the wave equation in an unbounded conical domain, with initial conditions and boundary conditions of Dirichlet or Neumann type. We give a uniform decay estimate of the solution in terms of weighted Sobolev norms of the initial data. The decay rate is the same as in the full space case.
| Original language | English |
|---|---|
| Pages (from-to) | 477-501 |
| Number of pages | 25 |
| Journal | Communications in Partial Differential Equations |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2007 |
Keywords
- decay estimates
- fractional integrals
- representation of solution
- LINEAR EVOLUTION-EQUATIONS
- SMALL AMPLITUDE SOLUTIONS
- NONLINEAR HYPERBOLIC-EQUATIONS
- KLEIN-GORDON EQUATIONS
- GLOBAL EXISTENCE
- EXTERIOR DOMAIN
- DIMENSIONS
- GUIDES
- BOUNDS