Discrete versions of the Li-Yau gradient estimate
نویسندگان
چکیده
We study positive solutions to the heat equation on graphs. prove variants of Li-Yau gradient estimate and differential Harnack inequality. For some graphs, we can show estimates be sharp. establish new com- putation rules for operators discrete spaces introduce a re- laxation function that governs time dependency in estimate
منابع مشابه
Discrete Versions of the Li-yau Gradient Estimate
We study positive solutions to the heat equation on graphs. We prove variants of the Li-Yau gradient estimate and the differential Harnack inequality. For some graphs, we can show the estimates to be sharp. We establish new computation rules for differential operators on discrete spaces and introduce a relaxation function that governs the time dependency in the differential Harnack estimate.
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ژورنال
عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2021
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.201807_005