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Microlocal analysis/inverse problems/PSDOs

Connections for Women: Microlocal Analysis August 29, 2019 - August 30, 2019

August 29, 2019 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Anna Mazzucato (Pennsylvania State University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
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I will motivate a quick introduction to pseudo-differential operators by discussing the so-called Calderon's problem, that is, whether knowledge of the Dirichlet-to-Neumann map (or the Neumann-to-Dirichlet map) at the boundary  determines the conductivity of a body in the interior. This problem has applications in Electric Impedance Tomography (EIT). I will in particular discuss uniqueness at the boundary, interior uniqueness using Complex Geometrical Optics (CGO solutions), and if time permits, layer stripping reconstruction algorithms in the case of isotropic conductivities.

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