A note on the transition density estimate for some diffusion process on a \(d\)-set

DOI10.1007/S10440-007-9101-6zbMath1118.60069OpenAlexW2077926968MaRDI QIDQ996732

Viktoria P. Knopova

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9101-6

zbMATH Keywords

Fractional diffusionTransition density estimates

Mathematics Subject Classification ID

Diffusion processes (60J60) Connections of harmonic functions with differential equations in higher dimensions (31B35) Classical measure theory (28A99)

Cites Work

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• Construction of diffusion processes on fractals, \(d\)-sets, and general metric measure spaces
• On the parabolic kernel of the Schrödinger operator
• Upper bounds for symmetric Markov transition functions
• Brownian motion on the Sierpinski gasket
• Transition densities for Brownian motion on the Sierpinski carpet
• Diffusion processes and heat kernels on metric spaces
• Estimates of transition densities for Brownian motion of nested fractals
• Dirichlet forms and symmetric Markov processes
• Harnack inequalities for jump processes
• Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations
• Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
• Brownian motion on fractals and function spaces
• Stability of parabolic Harnack inequalities on metric measure spaces
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS
• Volume doubling measures and heat kernel estimates on self-similar sets
• Stability of parabolic Harnack inequalities
• Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs

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