Guide to Boundary Value Problems for Dirac-Type Operators
Guide to Boundary Value Problems for Dirac-Type Operators
复制标题
狄拉克型算子的边值问题指南
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
W. Ballmann
中科院分区：
文献类型：
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作者：
Christian Baer;W. Ballmann
介绍了边界紧致的完全黎曼流形上dirac型算子的边值问题。我们引入了一类非常一般的边界条件，它包含Lopatinskij和Shapiro意义上的局部椭圆边界条件以及Atiyah-Patodi-Singer边界条件。讨论了解的边界正则性以及谱和指数理论。重点是为读者提供实用的知识。
We present an introduction to boundary value problems for Dirac-type operators on complete Riemannian manifolds with compact boundary. We introduce a very general class of boundary conditions which contains local elliptic boundary conditions in the sense of Lopatinskij and Shapiro as well as the Atiyah-Patodi-Singer boundary conditions. We discuss boundary regularity of solutions and also spectral and index theory. The emphasis is on providing the reader with a working knowledge.
DOI：
10.4310/sdg.2012.v17.n1.a1
发表时间：
2011-01
期刊：
Surveys in differential geometry
影响因子：
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作者：
Christian Bär;W. Ballmann
通讯作者：
Christian Bär;W. Ballmann