Overview
- This book is open access, which means that you have free and unlimited access
- Winner of the 2019 Book Prize of the Unione Matematica Italiana
- Freely available to all readers, this book is open access
- Provides a comprehensive and self-contained Introduction to the free boundary regularity theory
Part of the book series: Lecture Notes of the Unione Matematica Italiana (UMILN, volume 28)
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About this book
The exposition is organized around four main theorems, which are dedicated to the one-phase functional in its simplest form. Many of the methods and the techniques presented here are very recent and were developed in the context of different free boundary problems. We also give the detailed proofs of several classical results, which are based on some universal ideas and are recurrent in the free boundary, PDE and the geometric regularity theories.
This book is aimed at graduate students and researches and is accessible to anyone with a moderate level of knowledge of elliptical PDEs.
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Table of contents (12 chapters)
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Bibliographic Information
Book Title: Regularity of the One-phase Free Boundaries
Authors: Bozhidar Velichkov
Series Title: Lecture Notes of the Unione Matematica Italiana
DOI: https://doi.org/10.1007/978-3-031-13238-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s) 2023
Softcover ISBN: 978-3-031-13237-7Published: 25 February 2023
eBook ISBN: 978-3-031-13238-4Published: 24 February 2023
Series ISSN: 1862-9113
Series E-ISSN: 1862-9121
Edition Number: 1
Number of Pages: XIII, 247
Number of Illustrations: 1 b/w illustrations
Topics: Optimization, Analysis