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Green-Hyperbolic Operators on Globally Hyperbolic Spacetimes

  • Green-hyperbolic operators are linear differential operators acting on sections of a vector bundle over a Lorentzian manifold which possess advanced and retarded Green's operators. The most prominent examples are wave operators and Dirac-type operators. This paper is devoted to a systematic study of this class of differential operators. For instance, we show that this class is closed under taking restrictions to suitable subregions of the manifold, under composition, under taking "square roots", and under the direct sum construction. Symmetric hyperbolic systems are studied in detail.

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Metadaten
Author details:Christian BärORCiDGND
DOI:https://doi.org/10.1007/s00220-014-2097-7
ISSN:0010-3616
ISSN:1432-0916
Title of parent work (English):Communications in mathematical physics
Publisher:Springer
Place of publishing:New York
Publication type:Article
Language:English
Year of first publication:2015
Publication year:2015
Release date:2017/03/27
Volume:333
Issue:3
Number of pages:31
First page:1585
Last Page:1615
Funding institution:Deutsche Forschungsgemeinschaft [Sonderforschungsbereich 647]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer review:Referiert
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