Abstract
Using an interplay between the methods of geometric analysis and stochastic analysis, the main purpose of this paper is to study the \(L^\infty \)-uniqueness for symmetric diffusion operators on complete non-compact Riemannian manifolds in the context of \(m\)-dimensional Bakry–Emery’s Ricci curvature.
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I am grateful to the anonymous referees for their careful reading and for useful suggestions.
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Communicated by Steven G. Krantz.
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Lemle, L.D. On the \(L^\infty \)-Uniqueness of Symmetric Diffusion Operators on Complete Non-Compact Riemannian Manifolds. J Geom Anal 25, 2375–2385 (2015). https://doi.org/10.1007/s12220-014-9517-y
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DOI: https://doi.org/10.1007/s12220-014-9517-y