A mean-value lemma and applications

DOI10.24033/bsmf.2406zbMath1024.58017OpenAlexW2290859411WikidataQ124820888 ScholiaQ124820888MaRDI QIDQ2773560

Alessandro Savo

Publication date: 24 February 2002

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/Publications/Bulletin/129/html/smf_bull_129_505-542.html

zbMATH Keywords

heat equationasymptotic expansionsdistance functioneigenvalues of the Laplace operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (8)

A brief note on the coarea formula ⋮ Heat content asymptotics for sub-Riemannian manifolds ⋮ First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces ⋮ New eigenvalue estimates involving Bessel functions ⋮ Sharp bounds for the first eigenvalue of a fourth-order Steklov problem ⋮ Brownian bridges to submanifolds ⋮ Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds ⋮ Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms

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