Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 1976 | public
Book Section - Chapter

Deformations of non-linear partial differential equations

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

Additional Information

© 1976 CNRS.

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024