Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations

Ben Andrews

doi:10.4310/SDG.2014.v19.n1.a1

Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations

Ben Andrews

Mathematical Sciences Institute

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

Abstract

Estimates on moduli of continuity, isoperimetric profiles of various kinds, and quantities involving function values at several points have been central in several recent results in geometric analysis. This paper surveys some of the techniques and their applications.

Original language	English
Title of host publication	Surveys in Differential Geometry Volume 19 (2014)
Subtitle of host publication	Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck
Editors	Huai-Dong Cao, Richard Schoen, Shing-Tung Yau
Place of Publication	Somerville, MA, U.S.A.
Publisher	International Press
Pages	1-47
ISBN (Print)	9781571463036, 1571463038
DOIs	https://doi.org/10.4310/SDG.2014.v19.n1.a1
Publication status	Published - 21 Apr 2015

Publication series

Name	Surveys in Differential Geometry
Publisher	International Press
Volume	19
ISSN (Print)	1052-9233
ISSN (Electronic)	2164-4713

Access to Document

10.4310/SDG.2014.v19.n1.a1

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Andrews, B. (2015). Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations. In H.-D. Cao, R. Schoen, & S.-T. Yau (Eds.), Surveys in Differential Geometry Volume 19 (2014): Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck (pp. 1-47). (Surveys in Differential Geometry; Vol. 19). International Press. https://doi.org/10.4310/SDG.2014.v19.n1.a1

Andrews, Ben. / Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations. Surveys in Differential Geometry Volume 19 (2014): Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. editor / Huai-Dong Cao ; Richard Schoen ; Shing-Tung Yau. Somerville, MA, U.S.A. : International Press, 2015. pp. 1-47 (Surveys in Differential Geometry).

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title = "Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations",

abstract = "Estimates on moduli of continuity, isoperimetric profiles of various kinds, and quantities involving function values at several points have been central in several recent results in geometric analysis. This paper surveys some of the techniques and their applications.",

author = "Ben Andrews",

year = "2015",

month = apr,

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doi = "10.4310/SDG.2014.v19.n1.a1",

language = "English",

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series = "Surveys in Differential Geometry",

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Andrews, B 2015, Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations. in H-D Cao, R Schoen & S-T Yau (eds), Surveys in Differential Geometry Volume 19 (2014): Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Surveys in Differential Geometry, vol. 19, International Press, Somerville, MA, U.S.A., pp. 1-47. https://doi.org/10.4310/SDG.2014.v19.n1.a1

Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations. / Andrews, Ben.
Surveys in Differential Geometry Volume 19 (2014): Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. ed. / Huai-Dong Cao; Richard Schoen; Shing-Tung Yau. Somerville, MA, U.S.A.: International Press, 2015. p. 1-47 (Surveys in Differential Geometry; Vol. 19).

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

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DO - 10.4310/SDG.2014.v19.n1.a1

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BT - Surveys in Differential Geometry Volume 19 (2014)

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Andrews B. Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations. In Cao HD, Schoen R, Yau ST, editors, Surveys in Differential Geometry Volume 19 (2014): Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Somerville, MA, U.S.A.: International Press. 2015. p. 1-47. (Surveys in Differential Geometry). Epub 2015 Mar 6. doi: 10.4310/SDG.2014.v19.n1.a1

Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations

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