Overview
- Presents three lectures by leading experts
- Provides an in-depth exploration of recent advances
- Includes extensive background and references
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2284)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
Keywords
About this book
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 a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Geometric Measure Theory and Free Boundary Problems
Book Subtitle: Cetraro, Italy 2019
Authors: Guido De Philippis, Xavier Ros-Oton, Georg S. Weiss
Editors: Matteo Focardi, Emanuele Spadaro
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-65799-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-65798-7Published: 24 March 2021
eBook ISBN: 978-3-030-65799-4Published: 23 March 2021
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: V, 138
Number of Illustrations: 33 b/w illustrations
Topics: Analysis, Optimization