BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Transmission Eigenvalues and Upper Triangular Compactness - Sylves
 ter\, J (University of Washington)
DTSTART:20110802T101500Z
DTEND:20110802T110000Z
UID:TALK32204@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The interior transmission eigenvalue problem can be formulated
  as a 2x2 system of pdes\, where one of the two unknown functions must sat
 isfy too many boundary conditions\, and the other too few. The system is n
 ot self-adjoint and the resolvent is not compact. \n\nUnder the hypothesis
  that the contrast satisfies a coercivity condition on the boundary of the
  domain\, we show that the corresponding operator has Upper Triangular Com
 pact Resolvent and that the analytic Fredholm theorem holds for such opert
 ors. \n\nAs corollaries\, we can show that the set of (complex) interior t
 ransmission eigenvalues is a (possibly empty) discrete set which depends c
 ontunuously on the contrast\, and that eigenfunctions must be linearly ind
 ependent. This is different from previous results because the contrast nee
 d not have a constant sign (or be real valued) in the interior of the doma
 in. \n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR