Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue
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Andrews, Benjamin
Clutterbuck, Julie
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Mathematical Sciences Publishers
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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
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Analysis and PDE
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Open Access
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