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Inverse boundary problems for semilinear elliptic PDE

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 17, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Katya Krupchyk (University of California, Irvine)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

In this talk we shall discuss recent progress for partial data inverse boundary problems for semilinear elliptic PDE. It turns out that the presence of a nonlinearity allows one to solve inverse problems in situations where the corresponding linear counterpart is open. In the first part of the talk, we shall also discuss some previous work on partial data inverse boundary problems for linear elliptic PDE, focusing on the case of coefficients of low regularity. This talk is based on joint work with Gunther Uhlmann.

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