Abstract for the talk on 09.10.2018 (15:15 h)Oberseminar ANALYSIS - PROBABILITY
Mikko Salo (University of Jyväskylä)
Recent progress in the Calderon problem
The inverse conductivity problem, posed by A.P. Calderon in 1980, consists in determining the coeﬃcient A in the elliptic PDE div(A∇u) = 0 from the Cauchy data of its solutions. This problem is the mathematical model for Electrical Impedance Tomography. Various harmonic analysis, PDE and geometric techniques come into play in its study, and the Calderon problem remains a central question in the theory of inverse problems. We will survey known results and open questions, focusing on issues with low regularity, partial data and matrix coeﬃcients.