Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof

Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof

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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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Main Author: Mun, Byeongju
Language:English
Published: University of British Columbia 2013
Online Access:http://hdl.handle.net/2429/45031
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spelling ndltd-UBC-oai-circle.library.ubc.ca-2429-450312018-01-05T17:26:53Z Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof Mun, Byeongju 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 2013-09-05T21:57:32Z 2013-09-05T21:57:32Z 2013 2013-11 Text Thesis/Dissertation http://hdl.handle.net/2429/45031 eng Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ University of British Columbia
collection NDLTD
language English
sources NDLTD
description 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
author Mun, Byeongju
spellingShingle Mun, Byeongju
Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
author_facet Mun, Byeongju
author_sort Mun, Byeongju
title Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
title_short Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
title_full Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
title_fullStr Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
title_full_unstemmed Harnack inequality for nondivergent linear elliptic operators on Riemannian manifolds : a self-contained proof
title_sort harnack inequality for nondivergent linear elliptic operators on riemannian manifolds : a self-contained proof
publisher University of British Columbia
publishDate 2013
url http://hdl.handle.net/2429/45031
work_keys_str_mv AT munbyeongju harnackinequalityfornondivergentlinearellipticoperatorsonriemannianmanifoldsaselfcontainedproof
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