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Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue

Andrews, Benjamin; Clutterbuck, Julie


We derive sharp estimates on the modulus of continuity for solutions of the heat equation on a compact Riemannian manifold with a Ricci curvature bound, in terms of initial oscillation and elapsed time. As an application, we give an easy proof of the opti

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Analysis and PDE
DOI: 10.2140/apde.2013.6.1013
Access Rights: Open Access


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