Estimates for domains of local invertibility of diffeomorphisms
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- by Octavian G. Mustafa and Yuri V. Rogovchenko PDF
- Proc. Amer. Math. Soc. 135 (2007), 69-75 Request permission
Abstract:
Using a novel Wintner-type formulation of the classical Peano’s existence theorem [Math. Ann. 37 (1890), 182-228], we enhance Ważewski’s result on invertibility of maps defined on closed balls [Ann. Soc. Pol. Math. 20 (1947), 81-125] securing the size of the domain of invertibility that agrees with the bounds derived by John [Comm. Pure Appl. Math. 21 (1968), 77-110] and Sotomayor [Z. Angew. Math. Phys. 41 (1990), 306-310].References
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Additional Information
- Octavian G. Mustafa
- Affiliation: Department of Mathematics, University of Craiova, Al. I. Cuza 13, Craiova, Romania
- Email: octaviangenghiz@yahoo.com
- Yuri V. Rogovchenko
- Affiliation: Department of Mathematics, Eastern Mediterranean University, Famagusta, TRNC, Mersin 10, Turkey
- Email: yuri.rogovchenko@emu.edu.tr
- Received by editor(s): June 23, 2005
- Published electronically: July 28, 2006
- Additional Notes: This research was supported in part by the Mathematisches Forschungsinstitut Oberwolfach, Germany through the Program “Research in Pairs” (O.M. and Y.R.) and by the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, through the Young Collaborators Program (O.M.) and the Associateship Scheme (Y.R.).
- Communicated by: Carmen C. Chicone
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 69-75
- MSC (2000): Primary 34A12, 57R50
- DOI: https://doi.org/10.1090/S0002-9939-06-08444-9
- MathSciNet review: 2280176