On One Nonlinear Variant of the Nonlocal Characteristic Problem

2015 ◽  
Vol 206 (4) ◽  
pp. 406-412
Author(s):  
M. Menteshashvili ◽  
R. Bitsadze
Keyword(s):  
Characteristic Problem

scholarly journals GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA: (I) THE INITIAL DATA CONSTRAINTS

2005 ◽  
Vol 02 (01) ◽  
pp. 201-277 ◽  
Author(s):  
GIULIO CACIOTTA ◽  
FRANCESCO NICOLÒ
Keyword(s):  
Initial Data ◽  
Existence Result ◽  
Subsequent Paper ◽  
Small Initial Data ◽  
Asymptotic Decay ◽  
Characteristic Problem ◽  
Einstein Vacuum Equations ◽  
Einstein Vacuum ◽  
Data Constraints ◽  
Global Existence Result

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.

Sign in / Sign up

Export Citation Format

Share Document