Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs
Analysis of PDEs
2025-05-20 v2
Abstract
We obtain the Phragm\`en-Lindel\"of principle on combinatorial infinite weighted graphs for the Cauchy problem associated to a certain class of parabolic equations with a variable density. We show that the hypothesis made on the density is optimal.
Keywords
Cite
@article{arxiv.2504.08407,
title = {Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs},
author = {Stefano Biagi and Giulia Meglioli and Fabio Punzo},
journal= {arXiv preprint arXiv:2504.08407},
year = {2025}
}