SPECIAL ISSUE: Proceedings of the International Conference on Inverse Quantum Scattering Theory; 27–31 August 2007, Siófok, HungaryNo Access

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ANDRÁS VASY

ANDRÁS VASY

Department of Mathematics, Stanford University, CA 94305, USA

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https://doi.org/10.1142/S0217984908017035Cited by:4 (Source: Crossref)

Abstract

In these expository notes we explain the role of geometric optics in wave propagation on domains or manifolds with corners or edges. Both the propagation of singularities, which describes where solutions of the wave equation may be singular, and the diffractive improvement under non-focusing hypotheses, which states that in certain places the diffracted wave is more regular than a priori expected, is described. In addition, the wave equation on differential forms with natural boundary conditions, which in particular includes a formulation of Maxwell's equations, is studied.

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