Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
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DC 1304
Niky Kamran
Department of Mathematics and Statistics
McGill University
Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces
We study an inverse scattering problem on asymptotically hyperbolic Liouville surfaces with two ends and prove that surfaces are determined uniquely (up to isometries) from the knowledge for a given fixed energy of the scattering operator for scalar waves. The main ingredients used to prove this result are the separability of the wave equation into a system of ODEs, the Complex Angular Momentum method and a reinterpretation of the partial scattering coefficients as generalized WeylTitchmarsh functions for a certain SturmLiouville equation having the complex angular momentum as spectral parameter.
This is a joint work with Thierry Daude (CergyPontoise) and François Nicoleau (Nantes).
Wine and Cheese Reception to follow in DC 1301
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Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 5198884567, ext. 32700
Fax: 5197464319
PDF files require Adobe Acrobat Reader