Description
Geometric Measure Theory and Free Boundary Problems, 1st ed. 2021
Cetraro, Italy 2019
C.I.M.E. Foundation Subseries Series
Authors: De Philippis Guido, Ros-Oton Xavier, Weiss Georg S.
Coordinators: Focardi Matteo, Spadaro Emanuele
Language: English
Subject for Geometric Measure Theory and Free Boundary Problems:
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the book of De Philippis Guido, Ros-Oton Xavier, Weiss Georg S.
138 p. · 15.5x23.5 cm · Paperback
Description
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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.
Presents three lectures by leading experts
Provides an in-depth exploration of recent advances
Includes extensive background and references