Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below

DOI10.1007/s00208-015-1208-xzbMath1331.26019arXiv1211.6863OpenAlexW2963370371WikidataQ115388930 ScholiaQ115388930MaRDI QIDQ889956

Batu Güneysu, Pallara, Diego

Publication date: 9 November 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6863

zbMATH Keywords

Riemannian manifoldRicci curvaturebounded variationheat semigroupSobolev functions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (11)

On the best constants in Sobolev inequalities on the solid torus in the limit case \(p = 1\) ⋮ Characterizations of sets of finite perimeter using heat kernels in metric spaces ⋮ Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry ⋮ Yet another heat semigroup characterization of BV functions on Riemannian manifolds ⋮ Torus stability under Kato bounds on the Ricci curvature ⋮ Mini-workshop: Variable curvature bounds, analysis and topology on Dirichlet spaces. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Heat kernels in the context of Kato potentials on arbitrary manifolds ⋮ Generalized Schrödinger semigroups on infinite graphs ⋮ Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature ⋮ Sequences of Laplacian cut-off functions ⋮ \textit{BV} functions on convex domains in Wiener spaces

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