On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations

Autor(en)

Aurore Cabet, Piotr T. Chrusciel, Roger Tagne Wafo

Abstrakt

We consider a characteristic initial value problem for a class of symmetric hyperbolic systems with initial data given on two smooth null intersecting characteristic surfaces. We prove existence of solutions on a future neighborhood of the initial surfaces. The result is applied to general semilinear wave equations, as well as the Einstein equations with or without sources, and conformal variations thereof.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Université François-Rabelais, University of Douala

Journal

Dissertationes mathematicae

Band

515

Seiten

1-67

Anzahl der Seiten

67

ISSN

0012-3862

DOI

https://doi.org/10.4064/dm732-7-2015

Publikationsdatum

2016

Peer-reviewed

Ja

ÖFOS 2012

103028 Relativitätstheorie, 103019 Mathematische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Allgemeine Mathematik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/6b8fda46-324e-4b9d-bae2-b154b6456ca1