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Gradient and oscillation estimates and their applications in geometric PDE

Andrews, Benjamin


We describe some recent �oscillation� estimates in geometric PDE, where estimates are produced using the maximum principle applied to functions depending on several points. Applications include sharp short-time regularity results, sharp long-time behaviour which related closely to optimal estimates on eigenvalues, and elegant proofs of several key results on geometric evolution equations.

CollectionsANU Research Publications
Date published: 2012
Type: Conference paper
Source: Proceedings of International Congress of Chinese Mathematicians 2012


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