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SUMMARY:Transmission Eigenvalues for a Spherically Stratified Medium - Col
 ton\, D (University of Delaware)
DTSTART:20110803T130000Z
DTEND:20110803T134500Z
UID:TALK32218@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the transmission eigenvalue problem for a spherica
 lly stratified medium and note that this eigenvalue problem is not self-ad
 joint. Nevertheless\, considerable information on the the spectral theory 
 of transmission eigenvalues can be obtained using methods from the theory 
 of entire functions. In particular we will show that if the index of refra
 ction is constant then complex eigenvalues exist and show that "most"\nof 
 these complex eigenvalues lie near the real axis. We also consider the inv
 erse spectral problem associated with this eigenvalue problem and show tha
 t that the solution of this problem depends heavily on whether or not the 
 index of refraction is less than one or greater than one.\n
LOCATION:Seminar Room 1\, Newton Institute
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