Existence in the Sense of Sequences of Stationary Solutions for Some Non-Fredholm Integro-Differential Equations

Department of Mathematics, Wilfrid Laurier University

Speaker

Professor Vitali Vougalter, Department of Mathematics, Wilfrid Laurier University

Title

Existence in the Sense of Sequences of Stationary Solutions for Some Non-Fredholm Integro-Differential Equations

Abstract

We establish the existence in the sense of sequences of stationary solutions for some reaction-diffusion type equations in appropriate H² spaces. It is shown that, under reasonable technical conditions, the convergence in L¹ of the integral kernels implies the existence and convergence in H² of solutions. The nonlocal elliptic equations involve second order differential operators with and without the Fredholm property.

Date

Wednesday, Oct. 24, 2018

Time

4 p.m. - 4:50 p.m.

Location

LH3060 (Lazaridis Hall, Room 3060)