Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension. (English) Zbl 1534.49027
In this paper, the authors investigate local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension. Concretely, the authors obtain local estimates on the singular part of the variation measure of the minimizer in terms of the singular part of the variation measure of the datum.
Reviewer: Savin Treanţă (Bucureşti)
MSC:
| 49N60 | Regularity of solutions in optimal control |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35K59 | Quasilinear parabolic equations |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
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