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.
Author details: | Christian BärORCiDGND |
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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 |