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Higher regularity of solutions of free discontinuity problems

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Publication:1854086
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zbMath1007.49025MaRDI QIDQ1854086

Pallara, Diego, Nicola Fusco, Luigi Ambrosio

Publication date: 26 January 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

Mumford-Shah functionalregularity of solutionsLavrentiev phenomenonfree discontinuity problem


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)


Related Items

Some remarks on the analyticity of minimizers of free discontinuity problems. ⋮ Some approximation properties of Banach spaces and Banach lattices ⋮ Endpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and Mikayelyan ⋮ On a Neumann problem for variational functionals of linear growth



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