ENGLISH

Regularity of the One-phase Free Boundaries

By Bozhidar Velichkov

Book information

Publisher
Springer Nature
Year
2023
ISBN
9783031132384, 9783031132377, 3031132386
Language
english
Format
EPUB
Filesize
17 MB (18045029 bytes)
Pages
249\0
Library
SoftArchive
Time added
2023-07-16 02:55:05

Description

This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. 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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