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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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A Local Inversion Principle of the Nash-Moser Type
by
Alfonso Castro
University of Texas at San Antonio
Coauthors: John W. Neuberger (University of North Texas)

We prove a inverse function theorem of the Nash-Moser type. We overcome the loss of derivatives by using finite dimensional subspaces of infinitely differentiable functions. Estimates on the approximate solutions are obtained by arguments of steepest descent type.

Date received: April 5, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-57.