Display Abstract

Title Myopic Population Models on Infinite Networks

Name Robert Carlson
Country USA
Email rcarlson@uccs.edu
Submit Time 2014-02-14 19:31:30
Special Session 75: Differential and difference equations on graphs and their applications
Reaction-diffusion equations with spatial difference operators are treated on infinite networks using semigroup methods. The main function space B is a Banach algebra generated by functions which are flat at infinity. There is an associated compactification of the network which promotes the discussion of spatial asymptotics. For certain evolution problems in the space B, diffusive effects vanish at infinity, greatly simplifying the remote dynamics. Some related eigenfunction expansions are also considered.