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Diffractive Propagation on Conic Manifolds

Diffractive Propagation on Conic Manifolds

In this survey, we review some applications and extensions of the author’s results with Richard Melrose on propagation of singularities for solutions to the wave equation on manifolds with conical singularities. These results mainly concern: the local decay of energy on noncompact manifolds with diffractive trapped orbits (joint work with …