On the heat content for the Poisson heat kernel over convex bodies

DOI10.1016/j.jmaa.2020.124655zbMath1476.60019OpenAlexW3091587071MaRDI QIDQ2227602

Luis Acuña Valverde

Publication date: 15 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124655

zbMATH Keywords

covariance functionMinkowski functionalconvex bodiesheat contentradial and brightness functionsPoisson heat kernel

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Asymptotic behavior of solutions to PDEs (35B40) Diffusion processes and stochastic analysis on manifolds (58J65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Heat kernel (35K08)

Related Items (2)

Asymptotic expansion of the nonlocal heat content ⋮ On the asymptotic expansion of the heat content for isotropic \(\alpha \)-stable processes over convex bodies, \(0<\alpha <2\)

Cites Work

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• COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS
• Affine inequalities and radial mean bodies
• Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic α‐stable processes
• On the heat content for the Poisson kernel over the unit ball in the euclidean space

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