Diffraction of Singularities for the Wave Equation on Manifolds with Corners
Diffraction of Singularities for the Wave Equation on Manifolds with Corners
We consider the fundamental solution to the wave equation on a manifold with corners of arbitrary codimension. If the initial pole of the solution is appropriately situated, we show that the singularities which are diffracted by the corners (i.e., loosely speaking, are not propagated along limits of transversely reflected rays) …