Heat kernel estimates on local and non-local Dirichlet spaces satisfying a weak chain condition

DOI10.1016/j.jmaa.2024.128477zbMATH Open1548.60114MaRDI QIDQ6614310

Guanhua Liu

Publication date: 7 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Diffusion processes (60J60) Jump processes on general state spaces (60J76)

Cites Work

• Title not available (Why is that?)
• Two-sided estimates of heat kernels on metric measure spaces
• Dirichlet forms and symmetric Markov processes.
• Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
• Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces
• On the length of chains in a metric space
• Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms
• Energy inequalities for cutoff functions and some applications
• Heat kernel estimates for symmetric jump processes with mixed polynomial growths
• Stability of parabolic Harnack inequalities on metric measure spaces
• Estimates of heat kernels for non-local regular Dirichlet forms
• Transition Density Estimates for Diffusion Processes on Post Critically Finite Self-Similar Fractals
• Heat kernels and non-local Dirichlet forms on ultrametric spaces
• Heat kernel estimates for subordinate Brownian motions
• Existence of self-similar Dirichlet forms on post-critically finite fractals in terms of their resistances

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