| 书目名称 | The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations |
| 编辑 | Jan Chabrowski |
| 视频video | |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathematicians. The significant features of this recent research are the use of weighted Sobolev spaces, existence results for elliptic equations under very weak regularity assumptions on coefficients, energy estimates involving L2-norm of a boundary data and the construction of a space larger than the usual Sobolev space W1,2 such that every L2-function on the boundary of a given set is the trace of a suitable element of this space. The book gives a concise account of main aspects of these recent developments and is intended for researchers and graduate students. Some basic knowledge of Sobolev spaces and measure theory is required. |
| 出版日期 | Book 1991 |
| 关键词 | Dirichlet problem; Elliptic equations; Potential theory; Sobolev space; harmonic analysis; partial differ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0095750 |
| isbn_softcover | 978-3-540-54486-9 |
| isbn_ebook | 978-3-540-38400-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1991 |
发表于 2025-3-21 16:05:19
