Propagation of singularities for the wave equation on conic manifolds

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dc.creatorMelrose, Richard
dc.creatorWunsch, Jared
dc.date2001-11-23
dc.date.accessioned2026-07-07T04:44:45Z
dc.date.available2026-07-07T04:44:45Z
dc.descriptionFor 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.
dc.identifierhttps://arxiv.org/abs/math/0111255
dc.identifierhttp://arxiv.org/abs/math/0111255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62719
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject35L05, 58J47 (Primary) 58J40 (Secondary)
dc.titlePropagation of singularities for the wave equation on conic manifolds
dc.typetext

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