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Seminar

On the Linearized Calderon Problem with Partial Data - A Watermelon Approach October 11, 2010
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) David Dos Santos Ferreira
Description Abstract:
In this joint work with Carlos Kenig, Johannes Sjostrand and Gunther Uhlmann, we are interested in a linearization of Calder\'on's inverse problem on the Schr\"odinger equation with partial data. The problem is equivalent to determining whether the product of harmonic functions whose traces on the boundary vanish for a large subset of the boundary, is dense in the space of integrable functions. To deal with this problem, we use techniques from analytic microlocal analysis, in particular ideas coming from the proof of Kashiwara's Watermelon theorem.
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