Solvability of some integro-differential equations with anomalous diffusion and transport

14/05/2021, 14:00 - 15:00 in online

Vougalter, Vitali (Toronto)


The work deals with 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 the presence of the  transport term. The proof of existence of solutions is based on a fixed point technique. Solvability conditions for elliptic operators without Fredholm property in unbounded domains are used. We discuss how the introduction of the transport term impacts the regularity of  solutions

Mathematical Sciences Research Centre