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

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發(fā)表于 2025-3-21 19:18:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Elliptic Boundary Problems for Dirac Operators
編輯Bernhelm Boo?-Bavnbek,Krzysztof P. Wojciechowski
視頻videohttp://file.papertrans.cn/308/307765/307765.mp4
叢書名稱Mathematics: Theory & Applications
圖書封面Titlebook: Elliptic Boundary Problems for Dirac Operators;  Bernhelm Boo?-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
關(guān)鍵詞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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沙發(fā)
發(fā)表于 2025-3-21 23:16:58 | 只看該作者
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
板凳
發(fā)表于 2025-3-22 01:15:33 | 只看該作者
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
地板
發(fā)表于 2025-3-22 06:01:58 | 只看該作者
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Mathematics: Theory & Applicationshttp://image.papertrans.cn/e/image/307765.jpg
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發(fā)表于 2025-3-22 14:36:47 | 只看該作者
https://doi.org/10.1007/978-1-4612-0337-7Manifold; Sobolev space; algebra; equation; theorem; partial differential equations; matrix theory; ordinar
7#
發(fā)表于 2025-3-22 17:37:44 | 只看該作者
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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發(fā)表于 2025-3-23 08:56:12 | 只看該作者
Discovery of the Number Sequence,We emphasize the decomposition of a .?(.)-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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