A Riemannian Off-Diagonal Heat Kernel Bound for Uniformly Elliptic Operators

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dc.creatorOwen, Mark P.
dc.date1998-03-05
dc.date.accessioned2026-07-07T05:23:59Z
dc.date.available2026-07-07T05:23:59Z
dc.descriptionWe find a Gaussian off-diagonal heat kernel estimate for uniformly elliptic operators with measurable coefficients acting on regions $Ω\subseteq\real^N$, where the order $2m$ of the operator satisfies $N<2m$. The estimate is expressed using certain Riemannian-type metrics, and a geometrical result is established allowing conversion of the estimate into terms of the usual Riemannian metric on $Ω$. Work of Barbatis is applied to find the best constant in this expression.
dc.description29 pages, 6 diagrams
dc.identifierhttps://arxiv.org/abs/math/9803014
dc.identifierhttp://arxiv.org/abs/math/9803014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76666
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.subject35K25
dc.titleA Riemannian Off-Diagonal Heat Kernel Bound for Uniformly Elliptic Operators
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