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Titlebook: On Spectral Theory of Elliptic Operators; Yuri Egorov,Vladimir Kondratiev Book 1996 Birkhäuser Verlag 1996 Fourier transform.Hilbert space

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发表于 2025-3-21 18:46:28 | 显示全部楼层 |阅读模式
书目名称On Spectral Theory of Elliptic Operators
编辑Yuri Egorov,Vladimir Kondratiev
视频video
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: On Spectral Theory of Elliptic Operators; Yuri Egorov,Vladimir Kondratiev Book 1996 Birkhäuser Verlag 1996 Fourier transform.Hilbert space
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
doihttps://doi.org/10.1007/978-3-0348-9029-8
isbn_softcover978-3-0348-9875-1
isbn_ebook978-3-0348-9029-8Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkhäuser Verlag 1996
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0255-0156 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 classi
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Book 1996 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 proble
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Functional Spaces,We state here some standard definitions and notation that will be used in what follows. . is an .-dimensional real space. The . of . are denoted by . (or ., .,…) so that . = (.,…,.), (math p.35). If Ω is a set in ., i.e. Ω ⊂ ., then Ω is its . and .Ω is its ., ∂Ω is its .. A . in . is a connected open set.
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Elliptic Operators,We begin with some definitions.
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The Sturm-Liouville Problem,Let us consider the equation . on the segment 0 ≤ . ≤ ., assuming that the real-valued functions .′,. are continuous on this segment and
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