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SUMMARY:Smooth topology-preserving approximations of rough domains - Profe
 ssor John Ball\, University of Oxford
DTSTART:20120418T103000Z
DTEND:20120418T113000Z
UID:TALK37519@talks.cam.ac.uk
CONTACT:CCA
DESCRIPTION:The talk concerns bounded domains with continuous boundary. We
  study how the corresponding "good direction"\, with respect to which the 
 boundary is \nlocally a graph of a continuous function\, varies in a neigh
 borhood of the boundary\, and thus show how such domains can be approximat
 ed both from the inside and the outside by topologically equivalent smooth
  domains. The good directions form a globally-defined field that carries s
 ome topological information about the domain\, which we explore. Finally w
 e describe a \nsurprising consequence of the study\, that the domain has p
 ortions of the boundary with better regularity. This is joint work with Ar
 ghir Zarnescu.
LOCATION:MR2
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