%0 Journal Article
%T Propagation of singularities for the wave equation on conic manifolds
%A Richard Melrose
%A Jared Wunsch
%J Mathematics
%D 2001
%I arXiv
%X For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation of singularities through the boundary is analyzed. Under appropriate regularity assumptions the diffracted, non-direct, wave produced by the boundary is shown to have Sobolev regularity greater than the incoming wave.
%U http://arxiv.org/abs/math/0111255v1