Talk by Vitali Vougalter (AP Math Colloquium)
Room: 204
Vitali Vougalter - Visitng Professor from University of Toronto (UofT)
Title: Solvability of Some Integro-differential Equations with Anomalous Diffusion in Higher Dimensions
Abstract: The work deals with the studies of the existence of solutions of an integro-differential equation in the case of the anomalous diffusion with the negative Laplace operator in a fractional power in R^d, d=4,5. The proof of the existence of solutions relies on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.