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SUMMARY:A classical Perron method for existence of smooth solutions to bou
 ndary value and obstacle problems for boundary-degenerate elliptic operato
 rs via holomorphic m - Feehan\, P (Rutgers\, The State University of New J
 ersey)
DTSTART:20140626T095000Z
DTEND:20140626T102000Z
UID:TALK53191@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We prove existence of solutions to boundary value problems and
  obstacle problems for degenerate-elliptic\, linear\, second-order partial
  differential operators with partial Dirichlet boundary conditions using a
  new version of the Perron method. The elliptic operators considered have 
 a degeneracy along a portion of the domain boundary which is similar to th
 e degeneracy of a model linear operator identified by Daskalopoulos and Ha
 milton (1998) in their study of the porous medium equation or the degenera
 cy of the Heston operator (Heston\, 1993) in mathematical fi nance. Our Pe
 rron method relies on weak and strong maximum principles for degenerate-el
 liptic operators\, concepts of continuous subsolutions and supersolutions 
 for boundary value and obstacle problems for degenerate-elliptic operators
 \, and maximum and comparison principle estimates previously developed by 
 us.\n\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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