Gaussian heat kernel bounds through elliptic Moser iteration

DOI10.1016/j.matpur.2016.03.019zbMath1432.58018arXiv1407.3906OpenAlexW2963286638MaRDI QIDQ335869

Frédéric Bernicot, Dorothee Frey, Thierry Coulhon

Publication date: 3 November 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3906

zbMATH Keywords

Poincaré inequalitiesgradient estimatesDe Giorgi propertyheat kernel lower boundsHölder regularity of the heat semigroup

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Markov semigroups and applications to diffusion processes (47D07) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Sampling theory in information and communication theory (94A20)

Related Items (17)

Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey ⋮ Heat kernel bounds on metric measure spaces and some applications ⋮ On regularity of weak solutions to linear parabolic systems with measurable coefficients ⋮ Hardy spaces for semigroups with Gaussian bounds ⋮ Riesz transforms through reverse Hölder and Poincaré inequalities ⋮ Non-local Gehring lemmas in spaces of homogeneous type and applications ⋮ Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications ⋮ On uniqueness results for Dirichlet problems of elliptic systems without de Giorgi-Nash-Moser regularity ⋮ Riesz transform via heat kernel and harmonic functions on non-compact manifolds ⋮ Hot spots in convex domains are in the tips (up to an inradius) ⋮ Sobolev algebras through heat kernel estimates ⋮ Gaussian heat kernel estimates: from functions to forms ⋮ On gradient estimates for heat kernels ⋮ Tent space well-posedness for parabolic Cauchy problems with rough coefficients ⋮ \(L^p\) estimates for Baouendi-Grushin operators ⋮ Gradient estimates for heat kernels and harmonic functions ⋮ Stability of infinite systems of coupled oscillators via random walks on weighted graphs

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