| 书目名称 | Elliptic Regularity Theory |
| 副标题 | A First Course |
| 编辑 | Lisa Beck |
| 视频video | |
| 概述 | Gives a systematic, self-contained account of the topic.Presents recent results for the first time.Intended for researchers and graduate students with background in real and functional analysis |
| 丛书名称 | Lecture Notes of the Unione Matematica Italiana |
| 图书封面 |  |
| 描述 | .These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur...The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.. |
| 出版日期 | Book 2016 |
| 关键词 | 35J47,35B65,49N60; quasilinear elliptic systems; weak solutions; (partial) regularity; dimension reducti |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-27485-0 |
| isbn_softcover | 978-3-319-27484-3 |
| isbn_ebook | 978-3-319-27485-0Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
| issn_series | 1862-9113 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 18:32:20
