Document Type
Article
Department
Mathematics (HMC)
Publication Date
12-2001
Abstract
We prove an inverse function theorem of the Nash-Moser type. The main difference between our method and that of [J. Moser, Proc. Nat. Acad. Sci. USA, 47 (1961), pp. 1824-1831] is that we use continuous steepest descent while Moser uses a combination of Newton-type iterations and approximate inverses. We bypass the loss of derivatives problem by working on finite dimensional subspaces of infinitely differentiable functions.
Rights Information
© 2001 Society for Inudstrial and Applied Mathematics
DOI
10.1137/S0036141099357690
Recommended Citation
Castro, Alfonso and Neuberger, J. W., "A Local Inversion Principle of the Nash-Moser Type" (2001). All HMC Faculty Publications and Research. 479.
https://scholarship.claremont.edu/hmc_fac_pub/479
