Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
Andrews, Benjamin; Clutterbuck, Julie
Description
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
Collections | ANU Research Publications |
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Date published: | 2013 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/75552 |
Source: | Analysis and PDE |
DOI: | 10.2140/apde.2013.6.1013 |
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01_Andrews_Sharp_modulus_of_continuity_2013.pdf | 521.09 kB | Adobe PDF | Request a copy |
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