Diffractive Propagation on Conic Manifolds

Autor:	Jared Wunsch
Rok vydání:	2016
Předmět:	Physics Trace (linear algebra) Geodesic Scattering Conic section Gravitational singularity Mathematics::Differential Geometry General Medicine Conical surface Wave equation Distribution (differential geometry) Mathematical physics
Zdroj:	Séminaire Laurent Schwartz — EDP et applications. :1-15
ISSN:	2266-0607
DOI:	10.5802/slsedp.85
Popis:	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 Dean Baskin); singularities of the wave trace created by diffractive closed geodesics (joint work with G. Austin Ford); and the distribution of scattering resonances associated to such closed geodesics (joint work with Luc Hillairet).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4575c4ed2f966c84c1d4ec9601164192 https://doi.org/10.5802/slsedp.85 Zobrazit plný text záznamu