\(L^p\)-estimates for the heat semigroup on differential forms, and related problems

DOI10.1007/s12220-019-00188-1zbMath1460.58015arXiv1705.06945OpenAlexW2963299170WikidataQ115376769 ScholiaQ115376769MaRDI QIDQ2187703

El Maati Ouhabaz, Jocelyn Magniez

Publication date: 3 June 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06945

zbMATH Keywords

Schrödinger operatorsdifferential formsRiesz transformheat kernelsHodge-de Rham Laplacian

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Groups and semigroups of linear operators (47D03) Differential forms in global analysis (58A10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (4)

Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds ⋮ On gradient estimates for heat kernels ⋮ Heat flow regularity, Bismut-Elworthy-Li's derivative formula, and pathwise couplings on Riemannian manifolds with Kato bounded Ricci curvature

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