A Riemannian O - Diagonal Heat Kernel Bound forUniformly Elliptic OperatorsM
نویسنده
چکیده
We nd a Gaussian oo-diagonal heat kernel estimate for uniformly elliptic operators with measurable coeecients acting on regions R N , where the order 2m of the operator satisses 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. Work of Barbatis 1] is applied to nd the best constant in this expression.
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تاریخ انتشار 2009