Gradient and oscillation estimates and their applications in geometric PDE

Ben Andrews

Gradient and oscillation estimates and their applications in geometric PDE

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

Abstract

We describe some recent ï¿½oscillationï¿½ 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.

Original language	English
Title of host publication	Proceedings of International Congress of Chinese Mathematicians 2012
Place of Publication	United State of America
Publisher	American Mathematical Society
Pages	3-19
Edition	Peer Reviewed
ISBN (Print)	0821875558
Publication status	Published - 2012
Event	International Congress of Chinese Mathematicians (ICCM 2012) - Berlin Germany Duration: 1 Jan 2012 → …

Conference

Conference	International Congress of Chinese Mathematicians (ICCM 2012)
Period	1/01/12 → …
Other	April 13-15 2012

Cite this

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title = "Gradient and oscillation estimates and their applications in geometric PDE",

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AB - We describe some recent ï¿½oscillationï¿½ 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.

M3 - Conference Paper

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CY - United State of America

T2 - International Congress of Chinese Mathematicians (ICCM 2012)

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ER -

Gradient and oscillation estimates and their applications in geometric PDE

Abstract

Conference

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