Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664010 | Acta Mathematica Scientia | 2012 | 16 Pages |
Abstract
Using parabolic maximum principle, we apply the analytic method to obtain lower comparison inequalities for non-negative weak supersolutions of the heat equation associated with a regular strongly ρ-local Dirichle form on the abstract metric measure space. As an application, we obtain lower estimates for heat kernels on some Riemannian manifolds.
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Mathematics
Mathematics (General)