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Deformations of non-linear partial differential equations

Fischer, Arthur E. and Marsden, Jerrold E. (1976) Deformations of non-linear partial differential equations. In: Géométrie symplectique et physique mathématique. Colloques Internatioaux CNRS. No.237. CNRS , Paris, pp. 331-345. ISBN 222201784X http://resolver.caltech.edu/CaltechAUTHORS:20100924-142341206

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Abstract

In this article we examine in what sense the linearization of a system of nonlinear partial differential equations approximates the full nonlinear system. These ideas are applied to study the deformations of the scalar curvature equation and Einstein's equations of general relativity, as well as the set of metrics wirth prescribed scalar curvature. We show that these systems are linearization stable under general hypotheses; in the exceptional cases of instability , we study the isolation of solutions


Item Type:Book Section
Additional Information:© 1976 CNRS.
Record Number:CaltechAUTHORS:20100924-142341206
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100924-142341206
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20131
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:24 Sep 2010 21:57
Last Modified:26 Dec 2012 12:27

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