On Davies' conjecture and strong ratio limit properties for the heat kernel

Details On Davies' conjecture and strong ratio limit properties for the heat kernel On Davies' conjecture and strong ratio limit properties for the heat kernel

2005-04-17

arxiv.org/abs/math/0504344v1

Mathematics

Analysis of PDEs

11 pages

Scientific paper

We study strong ratio limit properties and the exact long time asymptotics of
the heat kernel of a general second-order parabolic operator which is defined
on a noncompact Riemannian manifold.

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