株式会社極東書店トップ ＞ 商品一覧 ＞ Free Boundary Problems : Regularity Properties Near the Fixed Boundary. 1st ed. 2018.
商品詳細
Free Boundary Problems : Regularity Properties Near the Fixed Boundary. 1st ed. 2018.
・ISBN 978-3-319-97078-3 paper EUR 39.99
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| 著者・編者 | Apushkinskaya, Darya, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 146 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3071＞ |
解説
This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary.
The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas.
The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.
The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C^1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas.
The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries.