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arXiv · 1406.3009

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

Aurore Cabet·Piotr T. Chruściel·Roger Tagne Wafo
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Abstract

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 general result is applied to general semilinear wave equations, as well as the Einstein equations with or without sources, and conformal variations thereof.

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Aurore Cabet, Piotr T. Chruściel, Roger Tagne Wafo. 2014-06-11. On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations. https://arxiv.org/abs/1406.3009

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