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Geometric Measure Theory and Free Boundary Problems

Geometric Measure Theory and Free Boundary Problems

Autorzy
Wydawnictwo Springer Nature Customer Service Center GmbH
Data wydania 01/04/2021
Wydanie Pierwsze
Liczba stron 138
Forma publikacji książka w miękkiej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
Język angielski
ISBN 9783030657987
Kategorie Rachunek matematyczny i analizy matematyczne, Optymalizacja
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Opis książki

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.

Geometric Measure Theory and Free Boundary Problems

Spis treści

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

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