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GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA:: (I) THE INITIAL DATA CONSTRAINTS.
- Source :
-
Journal of Hyperbolic Differential Equations . Mar2005, Vol. 2 Issue 1, p201-277. 77p. - Publication Year :
- 2005
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*ALGEBRA
*MATHEMATICS
*MATHEMATICAL functions
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 02198916
- Volume :
- 2
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Hyperbolic Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 18526455
- Full Text :
- https://doi.org/10.1142/S0219891605000439