Limiting Carleman weights and related inverse problems

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• Mihajlo Cekic (Cambridge)
• Friday 13 March 2015, 15:00-16:00
• MR13.

If you have a question about this talk, please contact Joe Waldron.

We consider the Calderon problem – does the Dirichlet-to-Neumann map on a manifold M uniquely determine the metric? The answer is known for dim M=2, but for dim M>2 most of it is open – we will talk about some known results in this case. The approach is based on limiting Carleman weights (introduced by Kenig-Sjoestrand-Uhlmann (2007) in the Euclidean case) and constructing special complex geometrical optics solutions. We also talk about uniquely determining a connection up to a gauge invariance and a potential from the DN map.

This talk is part of the Junior Geometry Seminar series.

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