Bifurcation and Spectral Convergence in Nonlinear Nonlocal Diffusion Equations
Speaker:
Peter Bates, Michigan State University
Date and Time:
Monday, June 6, 2016 - 9:30am to 10:30am
Location:
Fields Institute, Stewart Library
Abstract:
I will present some results giving the convergence of the spectrum of a family of nonlocal operators to the spectrum of the Laplacian as a parameter approaches zero. From this, with some effort caused by the fact that the nonlocal operator is bounded, we can
deduce bifurcation in a nonlocal Turing system and in a nonlocal Chafee-Infante problem.