The Regularity Theory for the Mumford–Shah Functional on the Plane
Camillo De Lellis
Institute for Advanced Study, Princeton, USAMatteo Focardi
Università degli Studi di Firenze, Italy
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| Front matterDownload pp. i–iv | |
| PrefaceDownload pp. vii–viii | |
| ContentsDownload pp. ix–x | |
| 1 | Introductionpp. 1–16 |
| 2 | Density bounds, compactness, variations, and monotonicitypp. 17–48 |
| 3 | Pure jumps and triple junctionspp. 49–85 |
| 4 | The Bonnet–David rigidity theorem for cracktipspp. 87–135 |
| 5 | Epsilon regularity at the cracktippp. 137–179 |
| 6 | Some consequences of the epsilon-regularity theorypp. 181–208 |
| A | Variational identitiespp. 209–214 |
| B | Equivalence of SBV and classic formulationspp. 215–231 |
| C | Useful results from elementary topologypp. 233–235 |
| D | Proof of Theorem 2.2.3pp. 237–246 |
| E | Hirsch's coarea inequality for Hölder mapspp. 247–248 |
| Referencespp. 249–251 | |
| List of symbolsp. 253 | |
| Indexpp. 255–256 |