Uniform estimates and the whole asymptotic series of the heat content on manifolds

DOI10.1023/A:1005016122695zbMath0949.58028OpenAlexW55721543MaRDI QIDQ1275284

Alessandro Savo

Publication date: 3 December 2000

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005016122695

zbMATH Keywords

asymptotic expansionsdistance functionheat content

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (13)

A brief note on the coarea formula ⋮ Heat flow, heat content and the isoparametric property ⋮ Heat content asymptotics for sub-Riemannian manifolds ⋮ On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ Neumann heat content asymptotics with singular initial temperature and singular specific heat ⋮ Growth of heat trace and heat content asymptotic coefficients ⋮ Geometric rigidity of constant heat flow ⋮ High orders of Weyl series for the heat content ⋮ SURVIVAL PROBABILITY (HEAT CONTENT) AND THE LOWEST EIGENVALUE OF DIRICHLET LAPLACIAN ⋮ On the heat content functional and its critical domains ⋮ Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic α‐stable processes

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