Geometric measure theory and free boundary problems : Cetraro, Italy 2019 / Guido De Philippis, Xavier Ros-Oton, Georg S. Weiss ; Matteo Focardi, Emanuele Spadaro, editors.
2021
QA312
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Title
Geometric measure theory and free boundary problems : Cetraro, Italy 2019 / Guido De Philippis, Xavier Ros-Oton, Georg S. Weiss ; Matteo Focardi, Emanuele Spadaro, editors.
Author
ISBN
303065799X (electronic book)
9783030657994 (electronic bk.)
3030657981
9783030657987
9783030657994 (electronic bk.)
3030657981
9783030657987
Published
Cham, Switzerland : Springer, [2021]
Language
English
Description
1 online resource (142 pages)
Item Number
10.1007/978-3-030-65799-4 doi
Call Number
QA312
Dewey Decimal Classification
515/.42
Summary
This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school "Geometric Measure Theory and Applications From Geometric Analysis to Free Boundary Problems" which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing an up-to-date account of the Yau conjecture, a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves, it will be of interest to students and researchers in mathematical analysis and its applications
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Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 5, 2021).
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Series
Lecture notes in mathematics (Springer-Verlag) ; 2284.
Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries.
Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries.
Available in Other Form
Print version: 9783030657987
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Table of Contents
Introduction / Matteo Focardi and Emanuele Spadaro
A-Free Measures and Applications / Guido De Philippis
Regularity of Free Boundaries in Obstacle Problems / Xavier Ros-Oton
Bernoulli Type Free Boundary Problems and Water Waves / Georg S. Weiss.
A-Free Measures and Applications / Guido De Philippis
Regularity of Free Boundaries in Obstacle Problems / Xavier Ros-Oton
Bernoulli Type Free Boundary Problems and Water Waves / Georg S. Weiss.