Introduction to inverse boundary problems for elliptic PDE

Speaker: 

Katya Krupchyk

Institution: 

UC Irvine

Time: 

Friday, May 29, 2020 - 4:00pm to 5:00pm

Host: 

Location: 

https://zoom.us/j/8473088589

We provide a general introduction to the field of inverse boundary problems for elliptic PDE, with the celebrated Calderon problem serving as a prototypical example. The emphasis of the talk is on the techniques based on Carleman estimates and their role in the construction of complex geometric optics solutions. We also survey some of the more recent developments, including partial data problems, inverse boundary problems on manifolds, as well as inverse boundary problems for non-linear equations.

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