Elliptic Boundary Problems for Dirac Operators [electronic resource] /

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.

Bibliographic Details

Main Authors:	Booß-Bavnbek, Bernhelm. author., Wojciechowski, Krzysztof P. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1993
Subjects:	Mathematics., Matrix theory., Algebra., Operator theory., Differential equations., Partial differential equations., Partial Differential Equations., Ordinary Differential Equations., Operator Theory., Linear and Multilinear Algebras, Matrix Theory.,
Online Access:	http://dx.doi.org/10.1007/978-1-4612-0337-7
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