On the uniqueness for the heat equation with density on infinite graphs

Giulia Meglioli

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arXiv · 2409.03617

On the uniqueness for the heat equation with density on infinite graphs

Giulia Meglioli

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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.

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Giulia Meglioli. 2024-09-05. On the uniqueness for the heat equation with density on infinite graphs. https://arxiv.org/abs/2409.03617

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