Decay estimates of solutions to wave equations in conical sets
M. Dreher
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.
Commun. Part. Diff. Eq.
32
(2007),
477-501
A preprint version of the paper is available here:
pdf.
