Existence of free discontinuity problems in
✍ Scribed by Zhong-Xue Lü; Xiao-Ping Yang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 530 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
We study lower semicontinuity problems for a class of integral functionals depending on a bulk energy and a jump part energy. These functionals are naturally defined on functions of bounded variation, and can be extended by relaxation to a larger set of discontinuous functions. We give a representat
One of the methods proposed for the study of the problems with a free discontinuity set in two variables has been considered here under slightly different abstract assumptions from those in the previous papers. The technical difficulties are in this new setting simplified and less background is requ