Obtaining upper bounds of heat kernels from lower bounds
نویسندگان
چکیده
منابع مشابه
Obtaining Upper Bounds of Heat Kernels from Lower Bounds
We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metric measure space with a regular measure implies an on-diagonal upper bound. If in addition the Dirichlet form is local and regular, then we obtain a full off-diagonal upper bound of the heat kernel provided the Dirichlet heat kernel on any ball satisfies a near-diagonal lower estimate. This reveals a new ph...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2008
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20215