Theorem of Uniqueness and Local Stability for Liouville-Einstein Equations
- 1 November 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (11) , 3238-3243
- https://doi.org/10.1063/1.1665120
Abstract
We prove, by use of energy inequalities, a theorem of uniqueness and local (i.e., for finite time) stability for the solution of Cauchy problem relative to the integro-differential system of Einstein and Liouville. A global theorem of geometrical uniqueness follows from a general method, previously given. We will prove elsewhere an existence theorem.Keywords
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