书目名称 | On Spectral Theory of Elliptic Operators |
编辑 | Yuri Egorov,Vladimir Kondratiev |
视频video | http://file.papertrans.cn/702/701078/701078.mp4 |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many books and articles have been published on this topic, considering spectral properties of elliptic differential operators from different points of view. This is one more book on these properties. This book is devoted to the study of some classical problems of the spectral theory of elliptic differential equations. The reader will find hardly any intersections with the books of Shubin [Sh] or Rempel-Schulze [ReSch] or with the works cited there. This book also has no general information in common with the books by Egorov and Shubin [EgShu], which also deal with spectral properties of elliptic operators. There is nothing here on oblique derivative problems; the reader will meet no pseudodifferential operators. The main subject of the book is the estimates of eigenvalues, especially of the first one, and of eigenfunctions of elliptic operators. The considered problems have in common the approach consisting of the application of the variational principle and some a priori estimates, usually in |
出版日期 | Book 1996 |
关键词 | Fourier transform; Hilbert space; Self-adjoint operator; Variable; equation; function; partial differentia |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-9029-8 |
isbn_softcover | 978-3-0348-9875-1 |
isbn_ebook | 978-3-0348-9029-8Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Birkhäuser Verlag 1996 |