Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional
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Publication:1566344
DOI10.1007/S005260100148zbMath1047.49015OpenAlexW2094372355WikidataQ57258985 ScholiaQ57258985MaRDI QIDQ1566344
John E. Hutchinson, Nicola Fusco, Luigi Ambrosio
Publication date: 2 June 2003
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s005260100148
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Hausdorff and packing measures (28A78)
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Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy ⋮ BV-ellipticity and lower semicontinuity of surface energy of Caccioppoli partitions of \(\mathbb{R}^n\) ⋮ 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 improvement for the minimizers of the two-dimensional Griffith energy ⋮ Editorial: The various stages of Nicola Fusco ⋮ The various stages of Nicola Fusco ⋮ Endpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and Mikayelyan ⋮ A Convex Decomposition Formula for the Mumford-Shah Functional in Dimension One ⋮ A new approximation result for BV-functions ⋮ A selective review on Mumford-Shah minimizers
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