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arXiv:math/0111255 [math.AP]AbstractReferencesReviewsResources

Propagation of singularities for the wave equation on conic manifolds

Richard Melrose, Jared Wunsch

Published 2001-11-23Version 1

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.

Categories: math.AP, math-ph, math.CA, math.MP
Subjects: 35L05, 58J47, 58J40
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