Abstract
1
Introduction
1.1
Background and History
1.2
Main Subject and ...
2
The Theory of Linear Constant Coefficients Evolution Equationsand Generalizations to Quasi-linear Systems.
2.1
Existence and Uniqueness ...
2.2
First Order Systems.
2.3
Generalization to Variable ...
2.4
Hyperbolicity and Numerical ...
3
The Problem of Hyperbolicity in General Relativity
3.1
The Standard Approach, ...
3.2
The Modification of ...
4
Recent Approaches to the Problem.
4.1
The ADM representation.
4.2
The Frame Representation.
4.3
Ashtekar's Representation.
5
Beyond the Prescribed Gauge.
5.1
Trial and Error ...
5.2
Hyperbolic Extensions.
5.3
Elliptic Extensions.
6
The Role of the Constraints
6.1
The Constraints in ...
6.2
The Constraints in ...
6.3
The Constraints in ...
6.4
The Constraints in ...
References