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Titlebook: Elliptic Differential Operators and Spectral Analysis; D. E. Edmunds,W.D. Evans Book 2018 Springer Nature Switzerland AG 2018 Elliptic ope

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发表于 2025-3-21 16:06:30 | 显示全部楼层 |阅读模式
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Titlebook: Elliptic Differential Operators and Spectral Analysis;  D. E. Edmunds,W.D. Evans Book 2018 Springer Nature Switzerland AG 2018 Elliptic ope
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
doihttps://doi.org/10.1007/978-3-030-02125-2
isbn_ebook978-3-030-02125-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Nature Switzerland AG 2018
The information of publication is updating

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Elliptic Differential Operators and Spectral Analysis
发表于 2025-3-22 04:02:05 | 显示全部楼层
1439-7382 lysis, 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..978-3-030-02125-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
发表于 2025-3-22 07:26:57 | 显示全部楼层
Zahlensysteme, Ungleichungen, Potenzenk solution of the Dirichlet problem. Returning to the Laplace operator, its Dirichlet eigenvalues are considered: Courant’s min-max pronciple is proved together with the analyticity of eigenvectors and the Faber-Krahn inequality for the first eigenvalue. There is a brief discussion of spectral independence.
发表于 2025-3-22 10:13:47 | 显示全部楼层
https://doi.org/10.1007/978-3-662-58702-7Vishik-Birman theory concerning the positive self-adjoint extensions of positive symmetric operators and the extension by Grubb of the theory to adjoint pairs of closed operators. Corresponding results, due to Arlinski and his collaborators, concerning the .-sectorial extensions of sectorial operators are given.
发表于 2025-3-22 13:46:41 | 显示全部楼层
Elliptic Operators of Arbitrary Order,k solution of the Dirichlet problem. Returning to the Laplace operator, its Dirichlet eigenvalues are considered: Courant’s min-max pronciple is proved together with the analyticity of eigenvectors and the Faber-Krahn inequality for the first eigenvalue. There is a brief discussion of spectral independence.
发表于 2025-3-22 21:04:12 | 显示全部楼层
Operators and Quadratic Forms in Hilbert Space,Vishik-Birman theory concerning the positive self-adjoint extensions of positive symmetric operators and the extension by Grubb of the theory to adjoint pairs of closed operators. Corresponding results, due to Arlinski and his collaborators, concerning the .-sectorial extensions of sectorial operators are given.
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Springer Monographs in Mathematicshttp://image.papertrans.cn/e/image/307786.jpg
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