Solvability of some integro-differential equations with concentrated sources
Vitali Vougalter · Complex Variables and Elliptic Equations · 2020
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. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.