Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
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 Weyl-Titchmarsh functions for a certain Sturm-Liouville equation having the complex angular momentum as spectral parameter.
This is a joint work with Thierry Daude (Cergy-Pontoise) and François Nicoleau (Nantes).
Wine and Cheese Reception to follow in DC 1301
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.