Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
In this paper, a self-contained proof is given to a well-known Harnack inequality of second order nondivergent uniformly elliptic operators on Riemannian manifolds with the condition that M-[R(v )]>0, following the ideas of M. Safonov [5]. Basically, the proof consists of three parts: 1) Critical...
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| Language: | English |
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University of British Columbia
2013
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| Online Access: | http://hdl.handle.net/2429/45031 |
| Summary: | In this paper, a self-contained proof is given to a well-known Harnack inequality of second order nondivergent uniformly elliptic operators on Riemannian manifolds with the condition that M-[R(v )]>0, following the ideas of M. Safonov [5]. Basically, the proof consists of three parts: 1)
Critical Density Lemma, 2) Power-Decay of the Distribution Functions of Solutions, and 3)Harnack Inequality. === Science, Faculty of === Mathematics, Department of === Graduate |
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