Constraint equations on compact manifolds with boundary (Join work with Emmanuel Humbert and Ngo Quoc Anh

Initial Data and Evolution Problems in General Relativity November 18, 2013 - November 22, 2013

November 20, 2013 (11:00 AM PST - 12:00 PM PST)

Speaker(s): Romain Gicquaud (Université de Tours (François Rabelais))
Location: SLMath: Eisenbud Auditorium

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

v1204

Abstract

In this talk I will present old and new results on the construction of solutions to the constraint equations with non-constant mean curvature. From previous work with Mattias Dahl and Emmanuel Humbert, it is known that, on closed manifolds, solutions to the conformal constraint equations exist provided that a certain limit equation admits no non-trivial solution. We extend this result to manifolds with boundary with apparent horizon boundary condition

Supplements

	Gicquaud 185 KB application/pdf	Download

Video/Audio Files

v1204

H.264 Video	v1204.mp4 313 MB video/mp4 rtsp://videos.msri.org/v1204/v1204.mp4	Download
H.264 Video	v1204.m4v 313 MB video/x-m4v	Download

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