Estimating Invertible Domains of Diffeomorphisms

Journal of Optimization Theory and Applications volume 154, pages818–829(2012)Cite this article

Abstract

In this paper, we use continuation technique to obtain estimates on the domain of invertibility for a diffeomorphism. We then apply these estimates to implicit function theorems. Our estimates are more feasible and sharper than those known in the literature.

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Affiliations

  1. Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave, Box 630, Rochester, NY, 14642, USA

    Jinhai Chen

Authors
  1. Jinhai Chen
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Correspondence to Jinhai Chen.

Additional information

Communicated by Florian Potra.

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Chen, J. Estimating Invertible Domains of Diffeomorphisms. J Optim Theory Appl 154, 818–829 (2012). https://doi.org/10.1007/s10957-012-0063-0

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Keywords

  • Domain of invertibility
  • Diffeomorphism
  • Continuation property
  • Hadamard–Lévy’s condition