Ahlfors-regularity of Mumford-Shah quasi-minima

DOI10.1016/S0021-7824(03)00067-9zbMath1034.49045MaRDI QIDQ1421409

Anthony Siaudeau

Publication date: 26 January 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Ahlfors-regularityMumford-Shah quasi-minimizer

Mathematics Subject Classification ID

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 (3)

Shape optimization problems with Robin conditions on the free boundary ⋮ Best constant in Poincaré inequalities with traces: a free discontinuity approach ⋮ A selective review on Mumford-Shah minimizers

Cites Work

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• Singular sets of minimizers for the Mumford-Shah functional
• Existence theorem for a minimum problem with free discontinuity set
• Existence theorem for a Dirichlet problem with free discontinuity set

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