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

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Cabet A., Chruściel P., Wafo R.

Instytut Matematyczny Polskiej Akademii Nauk

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.

Ograniczanie wyników

1 Cabet A.

1 Chruściel P.

1 Wafo R.

1 2016

Wyniki wyszukiwania

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