Uniform bounds for the heat content of open sets in Euclidean space

DOI10.1016/j.difgeo.2015.01.010zbMath1323.35055arXiv1407.6139OpenAlexW3099412932WikidataQ114671073 ScholiaQ114671073MaRDI QIDQ2348081

Katie Gittins, Michiel van den Berg

Publication date: 10 June 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6139

zbMATH Keywords

Euclidean spaceheat content

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Related Items (12)

Heat content estimates over sets of finite perimeter ⋮ On the heat content of a polygon ⋮ Heat content for convolution semigroups ⋮ Heat content estimates for the fractional Schrödinger operator \((-\Delta)^{\frac{\alpha}{2}} + c1_{\Omega}\), \(c > 0\) ⋮ Heat flow from polygons ⋮ Spectral heat content for time-changed killed Brownian motions ⋮ Heat content in non-compact Riemannian manifolds ⋮ Heat content for stable processes in domains of \(\mathbb {R}^d\) ⋮ A note on the generalized heat content for L\'evy processes ⋮ The heat content for nonlocal diffusion with non-singular kernels ⋮ 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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