TY - GEN
T1 - Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps
T2 - International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022
AU - Chen, Zhen Qing
AU - Kim, Panki
AU - Kumagai, Takashi
AU - Wang, Jian
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2022
Y1 - 2022
N2 - This article gives an overview of some recent progress in the study of sharp two-sided estimates for the transition density of a large class of Markov processes having both diffusive and jumping components in metric measure spaces. We summarize some of the main results obtained recently in [11, 18] and provide several examples. We also discuss new ideas of the proof for the off-diagonal upper bounds of transition densities which are based on a generalized Davies’ method developed in [10].
AB - This article gives an overview of some recent progress in the study of sharp two-sided estimates for the transition density of a large class of Markov processes having both diffusive and jumping components in metric measure spaces. We summarize some of the main results obtained recently in [11, 18] and provide several examples. We also discuss new ideas of the proof for the off-diagonal upper bounds of transition densities which are based on a generalized Davies’ method developed in [10].
KW - Diffusion process with jumps
KW - Heat kernel estimate
KW - Inner uniform domain
KW - Parabolic Harnack inequality
KW - Symmetric Dirichlet form
UR - http://www.scopus.com/inward/record.url?scp=85137985775&partnerID=8YFLogxK
U2 - 10.1007/978-981-19-4672-1_5
DO - 10.1007/978-981-19-4672-1_5
M3 - Conference contribution
AN - SCOPUS:85137985775
SN - 9789811946714
T3 - Springer Proceedings in Mathematics and Statistics
SP - 63
EP - 83
BT - Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022
A2 - Chen, Zhen-Qing
A2 - Takeda, Masayoshi
A2 - Uemura, Toshihiro
PB - Springer
Y2 - 22 August 2022 through 26 August 2022
ER -