Simplified excision techniques for free discontinuity problems in several variables
The author studied the free discontinuity problems. These are problems where an unknown discontinuity set can be found by solving a minimization problem. These kind of problems appear in the theory of image segmentation. The author has found applications to problems in several variables thanks to a Sobolev type theorem which ensures the Hölder continuity of certain functions out of a suitable neighbourhood of their discontinuity set.
scientific article; zbMATH DE number 1106587