Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms

DOI10.1016/j.aim.2020.107269zbMath1471.60118arXiv1908.07650OpenAlexW3040013320MaRDI QIDQ2006053

Zhen-Qing Chen, Jian Wang, Takashi Kumagai

Publication date: 8 October 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07650

zbMATH Keywords

stabilitymetric measure spaceheat kernel estimateparabolic Harnack inequalitysymmetric Dirichlet formcut-off Sobolev inequality

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Dirichlet forms (31C25) Diffusion processes (60J60) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35) Heat kernel (35K08) Jump processes on general state spaces (60J76)

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Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces, Heat kernels for reflected diffusions with jumps on inner uniform domains, Heat kernel estimates for general symmetric pure jump Dirichlet forms, Heat kernel upper bounds for symmetric Markov semigroups, Parabolic Harnack inequality implies the existence of jump kernel, Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes, Analysis on ultra-metric spaces via heat kernels, General Law of iterated logarithm for Markov processes: Liminf laws, Hausdorff dimensions of inverse images and collision time sets for symmetric Markov processes, Stability of heat kernel estimates for symmetric non-local Dirichlet forms, Two-sided heat kernel estimates for symmetric diffusion processes with jumps: recent results, Heat kernels and non-local Dirichlet forms on ultrametric spaces

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