Details

Autor(en) / Beteiligte

• Melrose, Richard
• Wunsch, Jared

Titel

Propagation of singularities for the wave equation on conic manifolds

Ist Teil von

• Inventiones mathematicae, 2004-05, Vol.156 (2), p.235-299

Ort / Verlag

Heidelberg: Springer Nature B.V

Erscheinungsjahr

2004

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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. [PUBLICATION ABSTRACT]