Extinction and propagation phenomena for semilinear parabolic equations on metric trees
Analysis of PDEs
2025-05-19 v1
Abstract
We study the Cauchy-Neumann problem on a regular metric tree T for the semilinear heat equation with forcing term of KPP type. Propagation and extinction of solutions, as well as asymptotical speed of propagation are investigated.
Cite
@article{arxiv.2505.10712,
title = {Extinction and propagation phenomena for semilinear parabolic equations on metric trees},
author = {Fabio Punzo and Alberto Tesei},
journal= {arXiv preprint arXiv:2505.10712},
year = {2025}
}