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Space – Time – Matter

Analytic and Geometric Structures

Ed. by Brüning, Jochen / Staudacher, Matthias

With contrib. by Fiedler, Bernold / Ecker, Klaus / Dittberner, Friederike / Bär, Christian / Andersson, Lars / Brüning, Jochen / Schüth, Dorothee / Baum, Helga / Juhl, Andreas / Altmann, Klaus / Farkas, Gavril / Alexander, Schmitt / Andreas, Björn / Kreimer, Dirk / Nandan, Dhritiman / Fiorini, Valentina / Liendo, Pedro / Chiodaroli, Marco / Ferro, Livia / Hell, Juliette / Varisco, Marco / Boldt, Sebastian / Yang, Gang / Plefka, Jan / Francesco, Bei / Güneysu, Batu / Matthias, Ludewig

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Publication Date:
April 2018
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Wave and Dirac equations on manifolds

Andersson, Lars / Bär, Christian


We review some recent results on geometric equations on Lorentzian manifolds such as the wave and Dirac equations. This includeswell-posedness and stability for various initial value problems, aswell as results on the structure of these equations on black hole spacetimes (in particular, on the Kerr solution), the index theorem for hyperbolic Dirac operators and properties of the class of Green-hyperbolic operators.

Citation Information

Lars Andersson, Christian Bär (2018). Wave and Dirac equations on manifolds. In Jochen Brüning, Matthias Staudacher (Eds.), Space – Time – Matter: Analytic and Geometric Structures (pp. 324–348). Berlin, Boston: De Gruyter. https://doi.org/10.1515/9783110452150-013

Book DOI: https://doi.org/10.1515/9783110452150

Online ISBN: 9783110452150

© 2018 Walter de Gruyter GmbH, Berlin/Munich/BostonGet Permission

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