Special Session 77: Singularity and regularity in nonlinear PDEs

Propagation and Extinction for a KPP-Type Heat Equation on Regular Metric Trees
Fabio Punzo
Politecnico di Milano
Italy
Co-Author(s):    
Abstract:
We present some recent joint results with Alberto Tesei on the Cauchy-Neumann problem for a semilinear heat equation with a KPP-type forcing term on a regular metric tree. We investigate the propagation and extinction of solutions, as well as their asymptotic speed of propagation. Particular attention is devoted to the analogies and differences with related results in Euclidean and hyperbolic spaces.