A&Q Seminar with Vitali Vougalter

On the solvability of some systems of integro-differential equations with anomalous diffusion in higher dimensions

Abstract:

The work deals with the studies of the existence of solutions of a system of integro-differential equations in the case of the anomalous diffusion with the negative Laplace operator in a fractional power in Rd, d=4,5. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.

The Analysis & Quantum Seminars takes place on Thursdays at 15:15 CET. At the moment the seminar is held online via Zoom. To get access to the corresponding link, please contact Torben Krüger. The seminar talks are 60 min in length with a 10-15 min question session at the end.