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SUMMARY:Surface waves and scattering by unbounded obstacles - Yafaev\, D (
 Universit de Rennes 1)
DTSTART:20150325T100000Z
DTEND:20150325T110000Z
UID:TALK58566@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Consider the Laplace operator $H=-Delta$ in the exterior $Omeg
 a$ of a parabolic region in  ${f R}^d$\, and let $H_{0}=-Delta$ be the   
 operator in the space $L^2 ({f R}^d)$.  The wave operators for the pair $
 H_{0}$\, $H$ exist  for an  arbitrary self-adjoint boundary condition on  
 $partialOmega$.   For the case of the Dirichlet boundary condition\,  the 
 wave  operators are unitary which excludes the existence of surface waves 
 on  $partialOmega$. For the Neumann boundary condition\, the existence of 
 surface waves     is an open problem\, and we are going to discuss it.\n
LOCATION:Seminar Room 1\, Newton Institute
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