Geometric Measure Theory and Free Boundary Problems: Cetraro, Italy 2019: 2284 (Lecture Notes in Mathematics, 2284) - Softcover

De Philippis, Guido; Ros-Oton, Xavier; Weiss, Georg S.

Softcover

ISBN 10: 3030657981 ISBN 13: 9783030657987

Publisher: Springer, 2021

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030657981
• ISBN 13: 9783030657987
• Binding: Paperback
• Edition number: 1
• Number of pages: 143
• Editor: Focardi Matteo, Spadaro Emanuele