Off-diagonal lower estimates and Hölder regularity of the heat kernel

Grigoryan A, Hu E, Hu J (2023)
Asian Journal of Mathematics 27(5): 675 – 770.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Grigoryan, AlexanderUniBi; Hu, Eryan; Hu, Jiaxin
Abstract / Bemerkung
We study the heat kernel of a regular symmetric Dirichlet form on a metric space with doubling measure, in particular, a connection between the properties of the jump measure and the long time behaviour of the heat kernel. Under appropriate optimal hypotheses, we obtain the Holder regularity and lower estimates of the heat kernel.
Stichworte
Heat kernel; Dirichlet form; doubling space
Erscheinungsjahr
2023
Zeitschriftentitel
Asian Journal of Mathematics
Band
27
Ausgabe
5
Seite(n)
675 – 770
ISSN
1093-6106
eISSN
1945-0036
Page URI
https://pub.uni-bielefeld.de/record/2993066

Zitieren

Grigoryan A, Hu E, Hu J. Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics. 2023;27(5):675 – 770.
Grigoryan, A., Hu, E., & Hu, J. (2023). Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics, 27(5), 675 – 770. https://doi.org/10.4310/AJM.2023.v27.n5.a3
Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. 2023. “Off-diagonal lower estimates and Hölder regularity of the heat kernel”. Asian Journal of Mathematics 27 (5): 675 – 770.
Grigoryan, A., Hu, E., and Hu, J. (2023). Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics 27, 675 – 770.
Grigoryan, A., Hu, E., & Hu, J., 2023. Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics, 27(5), p 675 – 770.
A. Grigoryan, E. Hu, and J. Hu, “Off-diagonal lower estimates and Hölder regularity of the heat kernel”, Asian Journal of Mathematics, vol. 27, 2023, pp. 675 – 770.
Grigoryan, A., Hu, E., Hu, J.: Off-diagonal lower estimates and Hölder regularity of the heat kernel. Asian Journal of Mathematics. 27, 675 – 770 (2023).
Grigoryan, Alexander, Hu, Eryan, and Hu, Jiaxin. “Off-diagonal lower estimates and Hölder regularity of the heat kernel”. Asian Journal of Mathematics 27.5 (2023): 675 – 770.
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