Endpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and Mikayelyan
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Publication:2246804
DOI10.1016/j.matpur.2021.05.001zbMath1477.49065arXiv2010.04888OpenAlexW3172067900MaRDI QIDQ2246804
Matteo Focardi, Camillo De Lellis, Silvia Ghinassi
Publication date: 16 November 2021
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.04888
Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)
Cites Work
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- Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy
- A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy
- Monotonicity and separation for the Mumford-Shah problem
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Existence theory for a new class of variational problems
- The variational approach to fracture
- A variational method in image segmentation: Existence and approximation results
- Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional
- Singular sets of minimizers for the Mumford-Shah functional
- Quasistatic crack growth in nonlinear elasticity
- Existence theorem for a minimum problem with free discontinuity set
- Higher regularity of solutions of free discontinuity problems
- On the regularity of edges in image segmentation
- The zero level set for a certain weak solution, with applications to the Bellman equations
- Optimal approximations by piecewise smooth functions and associated variational problems
- Regularity of the singular set for Mumford-Shah minimizers in R3 near a minimal cone
- $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
- Regularity properties of free discontinuity sets
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