书目名称 | Elliptic Differential Operators and Spectral Analysis |
编辑 | D. E. Edmunds,W.D. Evans |
视频video | |
概述 | Presents core material on elliptic operators as well as advanced topics.Provides detailed information about the function spaces related to elliptic operators.Includes results on extensions of adjoint |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature..Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included.. .Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations.The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.. |
出版日期 | Book 2018 |
关键词 | Elliptic operators; self-adjoint extensions; Sobolev spaces; p-Laplacian; spectral theory; Schauder estim |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-02125-2 |
isbn_ebook | 978-3-030-02125-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Nature Switzerland AG 2018 |