Speaker: Vitali Vougalter (University of Toronto)
Date: Tuesday, November 12, 2024, 1-2 pm

Link: https://wayne-edu.zoom.us/j/99210289207?pwd=NFMvazN4WnZxWEpOQXQ5MXFlYlhLUT09 

Title: On the solvability of some systems of integrodifferential equations with the double-scale anomalous diffusion in higher dimensions

Abstract: In the work, we establish the existence of solutions of a system of integrodifferential equations in the case of the double-scale anomalous diffusion. Each equation of the system contains the sum of the two negative Laplace operators raised to two distinct fractional powers in R^d, d=4,5. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains