On the uniqueness for the heat equation with density on infinite graphs
Analysis of PDEs
2025-01-20 v3
Abstract
We study the uniqueness of solutions to a class of heat equations with positive density posed on infinite weighted graphs. We separately consider the case when the density is bounded from below by a positive constant and the case of possibly vanishing density, showing that these two scenarios lead to two different classes of uniqueness.
Cite
@article{arxiv.2409.03617,
title = {On the uniqueness for the heat equation with density on infinite graphs},
author = {Giulia Meglioli},
journal= {arXiv preprint arXiv:2409.03617},
year = {2025}
}