Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion

Series
Analysis Seminar
Time
Wednesday, February 25, 2026 - 2:00pm for 1 hour (actually 50 minutes)
Location
Online
Speaker
Vitali Vougalter – University of Toronto – vitali@mail.math.toronto.edu
Organizer
Anastasios Fragkos

The work is devoted to the investigation of the solvability of an integro-differential equation in the case of the double scale anomalous diffusion with a sum of two negative Laplacians in different fractional powers in $R^{3}$. The proof of the existence of solutions relies on a fixed point technique. Solvability conditions for the elliptic operators without the Fredholm property in unbounded domains are used.