Solvability of Some Integro-Differential Equations with Transport and Concentrated Sources

Series
Math Physics Seminar
Time
Friday, April 11, 2025 - 11:00am for 1 hour (actually 50 minutes)
Location
ONLINE
Speaker
Vitali Vougalter – University of Toronto – vitali@mail.math.toronto.edu
Organizer
Matthew Powell

The work deals with the existence of solutions of an integro-differential equation in the case of the normal diffusion and the influx/efflux term proportional to the Dirac delta function in the presence of the drift term. 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 and discuss how the introduction of the transport term influences the regularity of the solutions.

https://gatech.zoom.us/j/94295986362?pwd=8euEJ3ojkWl5c3Y3hLyXTiKBts3Rrq.1