株式会社極東書店トップ ＞ 商品一覧 ＞ Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets. 1st ed. 2019.
商品詳細
Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets. 1st ed. 2019.
・ISBN 978-3-030-06242-2 paper EUR 54.99
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| 著者・編者 | Mazon, Jose M. / Rossi, Julio Daniel / Toledo, J. Julian, |
|---|---|
| シリーズ | Frontiers in Mathematics |
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2019 |
| ページ数 | 123 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-2918＞ |
解説
This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them.
These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately rescaled, they converge toward the classical perimeter and curvature as the rescaling parameter tends to zero. In this way, the usual notions can be recovered by using the nonlocal ones. In addition, nonlocal heat content is studied and an asymptotic expansion is obtained.
Given its scope, the book is intended for undergraduate and graduate students, as well as senior researchers interested in analysis and/or geometry.