| 書目名稱 | The Monge—Ampère Equation |
| 編輯 | Cristian E. Gutiérrez |
| 視頻video | http://file.papertrans.cn/915/914274/914274.mp4 |
| 叢書名稱 | Progress in Nonlinear Differential Equations and Their Applications |
| 圖書封面 |  |
| 描述 | In recent years, the study of the Monge-Ampere equation has received consider- able attention and there have been many important advances. As a consequence there is nowadays much interest in this equation and its applications. This volume tries to reflect these advances in an essentially self-contained systematic exposi- tion of the theory of weak: solutions, including recent regularity results by L. A. Caffarelli. The theory has a geometric flavor and uses some techniques from har- monic analysis such us covering lemmas and set decompositions. An overview of the contents of the book is as follows. We shall be concerned with the Monge-Ampere equation, which for a smooth function u, is given by (0.0.1) There is a notion of generalized or weak solution to (0.0.1): for u convex in a domain n, one can define a measure Mu in n such that if u is smooth, then Mu 2 has density det D u. Therefore u is a generalized solution of (0.0.1) if M u = f. |
| 出版日期 | Book 20011st edition |
| 關(guān)鍵詞 | PDEs; application; differential geometry; harmonic analysis; linear optimization; maximum principle; nonli |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-0195-3 |
| isbn_softcover | 978-1-4612-6656-3 |
| isbn_ebook | 978-1-4612-0195-3Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
| issn_series | 1421-1750 |
| copyright | Springer Science+Business Media New York 2001 |
|Archiver|手機(jī)版|小黑屋|
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