On a notion of unilateral slope for the Mumford-Shah functional
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In this paper we introduce a notion of unilateral slope for the Mumford-Shah functional, and provide an explicit formula in the case of smooth cracks. We show that the slope is not lower semicontinuous and study the corresponding relaxed functional.
- On a notion of unilateral slope for the Mumford-Shah functional
Nonlinear Differential Equations and Applications NoDEA
Volume 13, Issue 5-6 , pp 713-734
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- free-discontinuity problems
- gradient flow
- non-smooth analysis