$C^{1,\alpha }$-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting
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- by M. Bildhauer, M. Fuchs and C. Tietz
- St. Petersburg Math. J. 27 (2016), 381-392
- DOI: https://doi.org/10.1090/spmj/1393
- Published electronically: March 30, 2016
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Abstract:
A modification of the total variation image inpainting method is investigated. By using DeGiorgi type arguments, the partial regularity results established previously are improved to the $C^{1,\alpha }$ interior differentiability of solutions of this new variational problem.References
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Bibliographic Information
- M. Bildhauer
- Affiliation: Department of Mathematics, Saarland University, P.O. Box 151150, 66041 Saarbrücken, Germany
- Email: bibi@math.uni-sb.de
- M. Fuchs
- Affiliation: Department of Mathematics, Saarland University, P.O. Box 151150, 66041 Saarbrücken, Germany
- Email: fuchs@math.uni-sb.de
- C. Tietz
- Affiliation: Department of Mathematics, Saarland University, P.O. Box 151150, 66041 Saarbrücken, Germany
- Email: tietz@math.uni-sb.de
- Received by editor(s): November 20, 2014
- Published electronically: March 30, 2016
- © Copyright 2016 American Mathematical Society
- Journal: St. Petersburg Math. J. 27 (2016), 381-392
- MSC (2010): Primary 49N60, 49Q20
- DOI: https://doi.org/10.1090/spmj/1393
- MathSciNet review: 3570956
Dedicated: Dedicated to Professor N. N. Ural’tseva on her jubilee