A stability theorem for elliptic Harnack inequalities

DOI10.4171/JEMS/379zbMath1266.31005arXiv1105.4087OpenAlexW2083790917MaRDI QIDQ1949967

Richard F. Bass

Publication date: 21 May 2013

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4087

zbMATH Keywords

Harnack inequalityPoincaré inequalityrandom walks on graphsmetric measure spacecutoff inequality

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Continuous-time Markov processes on discrete state spaces (60J27) Potential theory on fractals and metric spaces (31E05)

Related Items (9)

Stability of elliptic Harnack inequalities ⋮ Harnack inequalities and Gaussian estimates for random walks on metric measure spaces ⋮ On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions ⋮ On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements ⋮ Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance ⋮ Elliptic Harnack inequalities for symmetric non-local Dirichlet forms ⋮ Stability of the elliptic Harnack inequality ⋮ Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates ⋮ Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals

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