Geometric Measure Theory and Free Boundary Problems - Guido De Philippis, Xavier Ros-Oton, Georg S. Weiss

Geometric Measure Theory and Free Boundary Problems

Cetraro, Italy 2019
Buch | Softcover
V, 138 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-65798-7 (ISBN)
53,49 inkl. MwSt

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.


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

Erscheinungsdatum
Reihe/Serie C.I.M.E. Foundation Subseries
Lecture Notes in Mathematics
Zusatzinfo V, 138 p. 33 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 232 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Free Boundary Problems • geometric measure theory • Manifolds and Measure-geometric Topics • minimal hypersurfaces • Partial differential equations • PDEs of Infinite Order • Water Waves
ISBN-10 3-030-65798-1 / 3030657981
ISBN-13 978-3-030-65798-7 / 9783030657987
Zustand Neuware
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