 97422 Owen M.P.
 A Riemannian OffDiagonal Heat Kernel Bound for Uniformly Elliptic Operators
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Jul 25, 97

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Abstract. We find a Gaussian offdiagonal heat kernel estimate for uniformly
elliptic operators with measurable coefficients acting on regions $\Omega
\subseteq\real^N$, where the order $2m$ of the operator satisfies $N<2m$.
The estimate is expressed using certain Riemanniantype metrics, and a
geometrical result is established allowing conversion of the estimate into
terms of the usual Riemannian metric on $\Omega$. Work of Barbatis is
applied to find the best constant in this expression.
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