Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

DOI10.1016/j.jfa.2017.01.001zbMath1372.35123OpenAlexW2569588475MaRDI QIDQ517101

Alexander Grigor'yan, Eryan Hu, Jiaxin Hu

Publication date: 16 March 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.01.001

zbMATH Keywords

heat kernellower estimatenon-local Dirichlet form

Mathematics Subject Classification ID

Fractals (28A80) Transition functions, generators and resolvents (60J35) Heat kernel (35K08)

Related Items (13)

Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces ⋮ Two-sided estimates of heat kernels of jump type Dirichlet forms ⋮ The Davies method for heat kernel upper bounds of non-local Dirichlet forms on ultra-metric spaces ⋮ Upper heat kernel estimates for nonlocal operators via Aronson's method ⋮ Markov chain approximations for nonsymmetric processes ⋮ Heat kernel estimates for symmetric jump processes with mixed polynomial growths ⋮ The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces ⋮ Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders ⋮ Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations ⋮ Semipolar sets and intrinsic Hausdorff measure ⋮ Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities ⋮ Heat kernels and non-local Dirichlet forms on ultrametric spaces ⋮ On the decomposition principle and a Persson type theorem for general regular Dirichlet forms

Cites Work

• Unnamed Item
• Unnamed Item
• Two-sided estimates of heat kernels on metric measure spaces
• Dirichlet forms and symmetric Markov processes.
• Comparison inequalities for heat semigroups and heat kernels on metric measure spaces
• Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces
• Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spaces
• Brownian motion on the Sierpinski gasket
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Harnack inequalities for jump processes
• Energy inequalities for cutoff functions and some applications
• Heat kernel estimates for \(\varDelta + \varDelta^{\alpha / 2}\) under gradient perturbation
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Stability of parabolic Harnack inequalities on metric measure spaces
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Transition Probabilities for Symmetric Jump Processes
• Estimates of heat kernels for non-local regular Dirichlet forms
• NASH-TYPE INEQUALITIES AND HEAT KERNELS FOR NON-LOCAL DIRICHLET FORMS
• Heat kernel upper bounds for jump processes and the first exit time
• Non-local Dirichlet forms and symmetric jump processes
• Volume doubling measures and heat kernel estimates on self-similar sets
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Transition Density Estimates for Diffusion Processes on Post Critically Finite Self-Similar Fractals
• Heat kernels on metric measure spaces and an application to semilinear elliptic equations
• Heat Kernels and Green Functions on Metric Measure Spaces
• Obtaining upper bounds of heat kernels from lower bounds
• Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs

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