We show how to prescribe the initial data of a characteristic problem satisfying the constraints, the smallness, the regularity and the asymptotic decay suitable to prove a global existence result. In this paper, the first of two, we show in detail the construction of the initial data and give a sketch of the existence result. This proof, which mimicks the analogous one for the non-characteristic problem in [19], will be the content of a subsequent paper.

Caciotta, G., Nicolo', F. (2005). Global characteristic problem for Einstein vacuum equations with small initial data: (I) the initial data constraints. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2(1), 201-277.

Global characteristic problem for Einstein vacuum equations with small initial data: (I) the initial data constraints

NICOLO', FRANCESCO
2005-01-01

Abstract

We show how to prescribe the initial data of a characteristic problem satisfying the constraints, the smallness, the regularity and the asymptotic decay suitable to prove a global existence result. In this paper, the first of two, we show in detail the construction of the initial data and give a sketch of the existence result. This proof, which mimicks the analogous one for the non-characteristic problem in [19], will be the content of a subsequent paper.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/02 - Algebra
English
Senza Impact Factor ISI
Einstein vacuum equations; characteristic problem; initial data constraints
Caciotta, G., Nicolo', F. (2005). Global characteristic problem for Einstein vacuum equations with small initial data: (I) the initial data constraints. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2(1), 201-277.
Caciotta, G; Nicolo', F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/8141
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