Existence of minimizers for a class of anisotropic free discontinuity problems
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Publication:1570437
DOI10.1007/BF02505913zbMath0963.49012MaRDI QIDQ1570437
Publication date: 22 June 2001
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Computing methodologies for image processing (68U10) 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) Methods involving semicontinuity and convergence; relaxation (49J45)
Cites Work
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- Existence theory for a new class of variational problems
- Hölder continuity of local minimizers
- A new proof of the SBV compactness theorem
- Existence theorem for a minimum problem with free discontinuity set
- Relaxation in \(BV\) versus quasiconvexification in \(W^{1,p}\); a model for the interaction between fracture and damage
- Optimal approximations by piecewise smooth functions and associated variational problems
- Rank one property for derivatives of functions with bounded variation
- A General Chain Rule for Distributional Derivatives