Some inverse source problems in semilinear fractional PDEs
Speaker: Prof. Marian Slodicka (Ghent University, Belgium)

Time: 9h30, Friday, September 20, 2019
Location: Grand Hall, Building A6, Institute of Mathematics, 18B Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: The talk deals with some inverse source problems in time fractional evolutionary partial differential equations.

First, we discuss the appropriate choice of the side condition needed for the recovery of a solely time dependent unknown source. This will be explained on a simple 1D-example (heat equation) and the corresponding spectral analysis. It will be shown that a single point measurement of a solution could lead to multiple solutions.

Finally, some inverse source problems for time-fractional (parabolic and/or hyperbolic) semilinear partial differential equations will be addressed.


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