Speaker : Catalin Ion (National Yang Ming Chiao Tung University)
Title : An inverse problem for the porous medium equation
Time : 2023-06-06 (Tue) 11:00 - 12:00
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: The porous medium equation is a degenerate parabolic type quasilinear equation that models, for example, the flow of a gas through a porous medium. In this talk I will present recent results on uniqueness in the inverse boundary value problem for this equation. Inverse boundary value problems are the problems of reconstructing the unknown coefficients of a partial differential equation from the knowledge of the set of all possible Cauchy data on the boundary. The talk is based on work with T. Ghosh & G. Nakamura and T. Ghosh & G. Uhlmann.