scientific article; zbMATH DE number 1529122
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Publication:4515449
zbMath0960.49024MaRDI QIDQ4515449
Publication date: 14 November 2000
Full work available at URL: http://www.numdam.org/item?id=ASNSP_2000_4_29_2_329_0
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Hausdorff dimensionMumford-Shah functional\(C^{1,\alpha}\)-regularity\(C^{1,\alpha}\)-constant\(C^{1,\alpha}\)-hypersurface
Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10)
Related Items (8)
Partial regularity for the crack set minimizing the two-dimensional griffith energy ⋮ Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition ⋮ Higher integrability for the gradient of Mumford-Shah almost-minimizers ⋮ Higher integrability of the gradient for the thermal insulation problem ⋮ Regularity properties of free discontinuity sets ⋮ Higher integrability for minimizers of the Mumford-Shah functional ⋮ Unnamed Item ⋮ A selective review on Mumford-Shah minimizers
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- Existence theorem for a Dirichlet problem with free discontinuity set
- $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
- Regularity properties of free discontinuity sets
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