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

DOI10.4064/dm732-7-2015zbMath1352.35182arXiv1406.3009OpenAlexW2962928517MaRDI QIDQ3178237

Aurore Cabet, Roger Tagne Wafo, Piotr T. Chrusciel

Publication date: 8 July 2016

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3009

zbMATH Keywords

wave equationssymmetric hyperbolic systemscharacteristic Cauchy problem

Mathematics Subject Classification ID

Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Initial value problems for first-order hyperbolic systems (35L45) Hyperbolic equations on manifolds (58J45) Einstein equations (35Q76) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (10)

On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes ⋮ Covariant definition of double null data and geometric uniqueness of the characteristic initial value problem ⋮ Gluing variations ⋮ Revisiting the characteristic initial value problem for the vacuum Einstein field equations ⋮ Improved existence for the characteristic initial value problem with the conformal Einstein field equations ⋮ Characteristic initial data and smoothness of Scri. I: Framework and results ⋮ Multiple Killing horizons: the initial value formulation for Λ -vacuum ⋮ On the global ``two-sided characteristic Cauchy problem for linear wave equations on manifolds ⋮ Solutions with a uniform time of existence of a class of characteristic semi-linear wave equations near S+ ⋮ Double null data and the characteristic problem in general relativity

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