Discrete versions of the Li-Yau gradient estimate
Dier D, Kaßmann M, Zacher R (2017)
arXiv:1701.04807.
Preprint | Englisch
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Autor*in
Dier, Dominik;
Kaßmann, MoritzUniBi 
;
Zacher, Rico
;
Zacher, RicoAbstract / Bemerkung
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.
Erscheinungsjahr
2017
Zeitschriftentitel
arXiv:1701.04807
Page URI
https://pub.uni-bielefeld.de/record/2956118
Zitieren
Dier D, Kaßmann M, Zacher R. Discrete versions of the Li-Yau gradient estimate. arXiv:1701.04807. 2017.
Dier, D., Kaßmann, M., & Zacher, R. (2017). Discrete versions of the Li-Yau gradient estimate. arXiv:1701.04807
Dier, Dominik, Kaßmann, Moritz, and Zacher, Rico. 2017. “Discrete versions of the Li-Yau gradient estimate”. arXiv:1701.04807.
Dier, D., Kaßmann, M., and Zacher, R. (2017). Discrete versions of the Li-Yau gradient estimate. arXiv:1701.04807.
Dier, D., Kaßmann, M., & Zacher, R., 2017. Discrete versions of the Li-Yau gradient estimate. arXiv:1701.04807.
D. Dier, M. Kaßmann, and R. Zacher, “Discrete versions of the Li-Yau gradient estimate”, arXiv:1701.04807, 2017.
Dier, D., Kaßmann, M., Zacher, R.: Discrete versions of the Li-Yau gradient estimate. arXiv:1701.04807. (2017).
Dier, Dominik, Kaßmann, Moritz, and Zacher, Rico. “Discrete versions of the Li-Yau gradient estimate”. arXiv:1701.04807 (2017).
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