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.

Keywords: Higher order elliptic operators, heat kernels, Gaussian-type bounds.

Contents Full-Text PDF