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

Fabio Punzo; Giulia Meglioli; Stefano Biagi

arxiv: 2504.08407 · v3 · pith:FHPSD2B2new · submitted 2025-04-11 · 🧮 math.AP

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

Stefano Biagi , Giulia Meglioli , Fabio Punzo This is my paper

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keywords densityen-lindelequationsgraphsinfiniteparabolicphragmassociated

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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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