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Titlebook: Elliptic Boundary Problems for Dirac Operators; Bernhelm Booß-Bavnbek,Krzysztof P. Wojciechowski Book 1993 Springer Science+Business Media

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发表于 2025-3-21 19:18:45 | 显示全部楼层 |阅读模式
书目名称Elliptic Boundary Problems for Dirac Operators
编辑Bernhelm Booß-Bavnbek,Krzysztof P. Wojciechowski
视频video
丛书名称Mathematics: Theory & Applications
图书封面Titlebook: Elliptic Boundary Problems for Dirac Operators;  Bernhelm Booß-Bavnbek,Krzysztof P. Wojciechowski Book 1993 Springer Science+Business Media
描述Elliptic boundary problems have enjoyed interest recently, espe­ cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec­ ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con­ texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif­ ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
出版日期Book 1993
关键词Manifold; Sobolev space; algebra; equation; theorem; partial differential equations; matrix theory; ordinar
版次1
doihttps://doi.org/10.1007/978-1-4612-0337-7
isbn_softcover978-1-4612-6713-3
isbn_ebook978-1-4612-0337-7
copyrightSpringer Science+Business Media New York 1993
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发表于 2025-3-21 23:16:58 | 显示全部楼层
of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.978-1-4612-6713-3978-1-4612-0337-7
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Book 1993e aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manif
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Mathematics: Theory & Applicationshttp://image.papertrans.cn/e/image/307765.jpg
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https://doi.org/10.1007/978-1-4612-0337-7Manifold; Sobolev space; algebra; equation; theorem; partial differential equations; matrix theory; ordinar
发表于 2025-3-22 17:37:44 | 显示全部楼层
Mathematical Models for Suspension BridgesWe define a canonical first order differential operator . : ..(.;.) → ..(.;.), called the Diras operator of .. Next we find the principal symbols of . and .. and show that . is formally self-adjoint with an explicit Green’s formula.
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Yurii V. Kistenev,Alexander V. ShapovalovWe consider a spin manifold with a spin structure on its tangent bundle, and a spinor bundle endowed with its canonical connection. We formulate the Lichnerowicz vanishing theorem.
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Discovery of the Number Sequence,We emphasize the decomposition of a .ℓ(.)-bundle . = .. ⊕ .. and the related splitting of Dirac operators. It is illuminating to treat the signature operator and other geometrically defined operators in this context.
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