Mathematics PDE Seminar: Vitali Vougalter (University of Toronto), On the solvability of some system
This event is in the past.
Date: Tuesday, September 26, 2023
Speaker: Vitali Vougalter (University of Toronto)
Online seminar: https://wayne-edu.zoom.us/j/99210289207?pwd=NFMvazN4WnZxWEpOQXQ5MXFlYlhLUT09
Title: On the solvability of some systems of integro-differential equations with concentrated sources
Abstract: The article is devoted to the existence of solutions of a system of integro-differential equations in the case of the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. 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.