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

Aurore Cabet, Piotr T. Chruściel, and Roger Tagne Wafo. On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations. 2016. <http://eudml.org/doc/286023>.

@book{AuroreCabet2016,
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 result is applied to general semilinear wave equations, as well as the Einstein equations with or without sources, and conformal variations thereof.},
author = {Aurore Cabet, Piotr T. Chruściel, Roger Tagne Wafo},
keywords = {characteristic Cauchy problem; symmetric hyperbolic systems; wave equations},
language = {eng},
title = {On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations},
url = {http://eudml.org/doc/286023},
year = {2016},
}

TY - BOOK
AU - Aurore Cabet
AU - Piotr T. Chruściel
AU - Roger Tagne Wafo
TI - On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations
PY - 2016
AB - 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.
LA - eng
KW - characteristic Cauchy problem; symmetric hyperbolic systems; wave equations
UR - http://eudml.org/doc/286023
ER -