| 书目名称 | Partial Differential Equations VI |
| 副标题 | Elliptic and Parabol |
| 编辑 | Yu. V. Egorov,M. A. Shubin |
| 视频video | |
| 丛书名称 | Encyclopaedia of Mathematical Sciences |
| 图书封面 |  |
| 描述 | 0. 1. The Scope of the Paper. This article is mainly devoted to the oper ators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i. e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in !Rn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems. We now list the main topics discussed in the article. First of all, we ex pound theorems on Fredholm property of elliptic operators, on smoothness of solutions of elliptic equations, and, in the case of ellipticity with a parame ter, on their unique solvability. A parametrix for an elliptic operator A (and A-). . J) is constructed by means of the calculus of pseudodifferential also for operators in !Rn, which is first outlined in a simple case with uniform in x estimates of the symbols. As functional spaces we mainly use Sobolev £ - 2 spaces. We consider functions of elliptic operators and in more detail some simple functions and the properties of their kernels. This for |
| 出版日期 | Book 1994 |
| 关键词 | Elliptic pseudodifferential operators; Fredholm operators; Fredholmoperatoren; Theoretical physics; elli |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-09209-5 |
| isbn_softcover | 978-3-642-08117-0 |
| isbn_ebook | 978-3-662-09209-5Series ISSN 0938-0396 |
| issn_series | 0938-0396 |
| copyright | Springer-Verlag Berlin Heidelberg 1994 |
发表于 2025-3-21 17:22:28
