Abstract
We prove the existence of an exponent p> 2 with the property that the approximate gradient of any local minimizer of the 2-dimensional Mumford-Shah energy belongs to Lloc p.
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De Lellis, Camillo; Focardi, Matteo (2013). Higher integrability of the gradient for minimizers of the 2d Mumford-Shah energy. Journal de Mathématiques Pures et Appliquées, 100(3):391-409.
We prove the existence of an exponent p> 2 with the property that the approximate gradient of any local minimizer of the 2-dimensional Mumford-Shah energy belongs to Lloc p.
Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
Dewey Decimal Classification: | 510 Mathematics |
Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
Language: | English |
Date: | September 2013 |
Deposited On: | 29 Nov 2013 11:42 |
Last Modified: | 10 Sep 2024 01:37 |
Publisher: | Elsevier |
ISSN: | 0021-7824 |
OA Status: | Closed |
Free access at: | Publisher DOI. An embargo period may apply. |
Publisher DOI: | https://doi.org/10.1016/j.matpur.2013.01.006 |