Heat kernels in the context of Kato potentials on arbitrary manifolds

DOI10.1007/s11118-016-9574-xzbMath1364.31010arXiv1511.01675OpenAlexW2962952848WikidataQ125319093 ScholiaQ125319093MaRDI QIDQ507190

Batu Güneysu

Publication date: 3 February 2017

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01675

zbMATH Keywords

heat kernel estimatesKato potentialsparabolic mean value inequality

Mathematics Subject Classification ID

Potential theory on Riemannian manifolds and other spaces (31C12) Heat kernel (35K08)

Related Items (8)

On the geometry of semiclassical limits on Dirichlet spaces ⋮ Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds ⋮ A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field ⋮ Heat kernel bounds and Ricci curvature for Lipschitz manifolds ⋮ Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature ⋮ A generalized conservation property for the heat semigroup on weighted manifolds ⋮ Weyl formulae for Schrödinger operators with critically singular potentials ⋮ Essential self-adjointness of perturbed biharmonic operators via conformally transformed metrics

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