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. https://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. |
| Series Name: | Colloques Internatioaux CNRS |
| Issue or Number: | 237 |
| Record Number: | CaltechAUTHORS:20100924-142341206 |
| Persistent URL: | https://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: | 03 Oct 2019 02:06 |
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