Lower inequalities of heat semigroups by using parabolic maximum principle |
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Authors: | Hu Eryan |
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Affiliation: | Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China |
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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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Keywords: | Dirichlet form parabolic maximum principle heat kernel |
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