| id |
oapen-20.500.12657-61877
|
| record_format |
dspace
|
| spelling |
oapen-20.500.12657-618772024-03-27T14:14:40Z Regularity of the One-phase Free Boundaries Velichkov, Bozhidar Free Boundary Problems Regularity One-phase Problem Bernoulli Free Boundary Problem Alt-Caffarelli Monotonicity Formulas Epiperimetric Inequality Partial Differential Equations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBU Optimization thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis 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. 2023-03-17T15:20:53Z 2023-03-17T15:20:53Z 2023 book ONIX_20230317_9783031132384_31 9783031132384 https://library.oapen.org/handle/20.500.12657/61877 eng Lecture Notes of the Unione Matematica Italiana application/pdf n/a 978-3-031-13238-4.pdf https://link.springer.com/978-3-031-13238-4 Springer Nature Springer International Publishing 10.1007/978-3-031-13238-4 10.1007/978-3-031-13238-4 6c6992af-b843-4f46-859c-f6e9998e40d5 934fa25c-7607-42a3-b320-9719e66e012e 9783031132384 Springer International Publishing 28 247 Cham [...] Horizon 2020 Framework Programme EU Framework Programme for Research and Innovation H2020 open access
|
| institution |
OAPEN
|
| collection |
DSpace
|
| language |
English
|
| 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.
|
| title |
978-3-031-13238-4.pdf
|
| spellingShingle |
978-3-031-13238-4.pdf
|
| title_short |
978-3-031-13238-4.pdf
|
| title_full |
978-3-031-13238-4.pdf
|
| title_fullStr |
978-3-031-13238-4.pdf
|
| title_full_unstemmed |
978-3-031-13238-4.pdf
|
| title_sort |
978-3-031-13238-4.pdf
|
| publisher |
Springer Nature
|
| publishDate |
2023
|
| url |
https://link.springer.com/978-3-031-13238-4
|
| _version_ |
1799945220976017408
|
