Gaussian bounds and parabolic Harnack inequality on locally irregular graphs |
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Authors: | Martin T Barlow Xinxing Chen |
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Institution: | 1.Department of Mathematics,University of British Columbia,Vancouver,Canada;2.Department of Mathematics,Shanghai Jiaotong University,Shanghai,China |
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Abstract: | A well known theorem of Delmotte is that Gaussian bounds, parabolic Harnack inequality, and the combination of volume doubling and Poincaré inequality are equivalent for graphs. In this paper we consider graphs for which these conditions hold, but only for sufficiently large balls, and prove a similar equivalence. |
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