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Journal of Operator Theory

Volume 36, Issue 1, Summer 1996  pp. 179-198.

Sharp bounds on heat kernels of higher order uniformly elliptic operators

Authors:  G. Barbatis (1) and E.B. Davies (2)
Author institution: (1) Department of Mathematics, King’s College, Strand, London WC2R 2LS, ENGLAND
(2) Department of Mathematics, King’s College, Strand, London WC2R 2LS, ENGLAND

Summary:  We consider uniformly elliptic operators of order 2m in divergence form with measurable coefficients acting on domains in $\mathbb R^N$. The corresponding heat kernel is known to satisfy bounds of the type.


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