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Notes on the Infinity Laplace Equation. 1st ed. 2016.
・ISBN 978-3-319-31531-7 paper EUR 49.99
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| 著者・編者 | Lindqvist, Peter, |
|---|---|
| シリーズ | SpringerBriefs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 68 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-20607> |
解説
This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. The Infinity-Laplace Equation has delightful counterparts to the Dirichlet integral, the mean value property, the Brownian motion, Harnack's inequality, and so on. This "fully non-linear" equation has applications to image processing and to mass transfer problems, and it provides optimal Lipschitz extensions of boundary values.