Geometric Measure Theory and Free Boundary Problems - Cetraro, Italy 2019

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.

List of contents

- Introduction. - A-Free Measures and Applications. - Regularity of Free Boundaries in Obstacle Problems. - Bernoulli Type Free Boundary Problems and Water Waves.

Product details

• Authors: Guid De Philippis, Guido De Philippis, Xavie Ros-Oton, Xavier Ros-Oton, Georg Weiss, Georg S. Weiss
• Assisted by: Matte Focardi (Editor), Matteo Focardi (Editor), Spadaro (Editor), Spadaro (Editor), Emanuele Spadaro (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 12.05.2021
• EAN: 9783030657987
• ISBN: 978-3-0-3065798-7
• No. of pages: 138
• Dimensions: 155 mm x 8 mm x 235 mm
• Illustrations: V, 138 p. 33 illus.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis