×

Geometric measure theory and free boundary problems. Based on lectures given at the CIME summer school on geometric measure theory and applications – from geometric analysis to free boundary problems, Cetraro, Italy, September 2–6, 2019. (English) Zbl 1461.49002

Lecture Notes in Mathematics 2284. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-030-65798-7/pbk; 978-3-030-65799-4/ebook). v, 138 p. (2021).

Show indexed articles as search result.

Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Focardi, Matteo; Spadaro, Emanuele, Introduction, 1-3 [Zbl 1461.49001]
De Philippis, Guido, A-free measures and applications, 5-35 [Zbl 1462.49071]
Ros-Oton, Xavier, Regularity of free boundaries in obstacle problems, 37-88 [Zbl 1461.49054]
Weiss, Georg S., Bernoulli type free boundary problems and water waves, 89-136 [Zbl 1470.35442]

MSC:

49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
49Q15 Geometric measure and integration theory, integral and normal currents in optimization
00B25 Proceedings of conferences of miscellaneous specific interest
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M30 Variational methods applied to problems in fluid mechanics
PDFBibTeX XMLCite
Full Text: DOI