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SUMMARY:Strichartz estimates for the wave equation on flat cones and appli
 cations - Jeremy Marzuola (UNC Chapel Hill)
DTSTART:20120305T170000Z
DTEND:20120305T180000Z
UID:TALK36615@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:With Matt Blair and G. Austin Ford\, we consider the solution 
 operator for the wave equation on the flat Euclidean cone.  Using explicit
  representations of the solution operator in regions related to flat wave 
 propagation and diffraction by the cone point\, we prove dispersive estima
 tes and hence scale invariant Strichartz estimates for the wave equation o
 n flat cones. We then show that this yields corresponding inequalities on 
 wedge domains\, polygons\, and Euclidean surfaces with conic singularities
 . This in turn yields well-posedness results for the nonlinear wave equati
 on on such manifolds. Morawetz estimates on the cone are also treated.
LOCATION:CMS\, MR15
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