Estimating Invertible Domains of Diffeomorphisms

Jinhai Chen ()
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Jinhai Chen: University of Rochester

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 3, No 5, 818-829

Abstract: 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.

Keywords: Domain of invertibility; Diffeomorphism; Continuation property; Hadamard–Lévy’s condition (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0063-0

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