Estimates of Dirichlet heat kernel for symmetric Markov processes

Grzywny T, Kim K-Y, Kim P (2020)
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 130(I): 431-470.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Grzywny, Tomasz; Kim, Kyung-YounUniBi; Kim, Panki
Abstract / Bemerkung
We consider a large class of symmetric pure jump Markov processes dominated by isotropic unimodal Levy processes with weak scaling conditions. First, we establish sharp two-sided heat kernel estimates for these processes in C-1,C-1 open sets. As corollaries of our main results, we obtain sharp two-sided Green function estimates and a scale invariant boundary Harnack inequality with explicit decay rates in C-1,C-1 open sets. (C) 2019 Published by Elsevier B.V.
Stichworte
First exit time; Dirichlet heat kernel; Heat kernel; Markov process; Transition density; Green function; Boundary Harnack inequality
Erscheinungsjahr
2020
Zeitschriftentitel
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Band
130
Ausgabe
I
Seite(n)
431-470
ISSN
0304-4149
eISSN
1879-209X
Page URI
https://pub.uni-bielefeld.de/record/2939926

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Grzywny T, Kim K-Y, Kim P. Estimates of Dirichlet heat kernel for symmetric Markov processes. STOCHASTIC PROCESSES AND THEIR APPLICATIONS. 2020;130(I):431-470.
Grzywny, T., Kim, K. - Y., & Kim, P. (2020). Estimates of Dirichlet heat kernel for symmetric Markov processes. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 130(I), 431-470. doi:10.1016/j.spa.2019.03.017
Grzywny, T., Kim, K. - Y., and Kim, P. (2020). Estimates of Dirichlet heat kernel for symmetric Markov processes. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 130, 431-470.
Grzywny, T., Kim, K.-Y., & Kim, P., 2020. Estimates of Dirichlet heat kernel for symmetric Markov processes. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 130(I), p 431-470.
T. Grzywny, K.-Y. Kim, and P. Kim, “Estimates of Dirichlet heat kernel for symmetric Markov processes”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, vol. 130, 2020, pp. 431-470.
Grzywny, T., Kim, K.-Y., Kim, P.: Estimates of Dirichlet heat kernel for symmetric Markov processes. STOCHASTIC PROCESSES AND THEIR APPLICATIONS. 130, 431-470 (2020).
Grzywny, Tomasz, Kim, Kyung-Youn, and Kim, Panki. “Estimates of Dirichlet heat kernel for symmetric Markov processes”. STOCHASTIC PROCESSES AND THEIR APPLICATIONS 130.I (2020): 431-470.

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