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.
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.
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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Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| 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 Nov 2023 02:42 |
| 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 |
De Lellis, Camillo