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arXiv · 2504.08407

Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs

Stefano Biagi·Giulia Meglioli·Fabio Punzo
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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.

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Stefano Biagi, Giulia Meglioli, Fabio Punzo. 2025-04-11. Phragm\`en-Lindel\"of type theorems for parabolic equations on infinite graphs. https://arxiv.org/abs/2504.08407

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