Gaussian heat kernel upper bounds via Phragmén-Lindelöf theorem

Details Gaussian heat kernel upper bounds via Phragmén-Lindelöf theorem Gaussian heat kernel upper bounds via Phragmén-Lindelöf theorem

2006-09-15

arxiv.org/abs/math/0609429v1

Mathematics

Analysis of PDEs

Scientific paper

We prove that in presence of $L^2$ Gaussian estimates, so-called
Davies-Gaffney estimates, on-diagonal upper bounds imply precise off-diagonal
Gaussian upper bounds for the kernels of analytic families of operators on
metric measure spaces.

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