Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set.

DOI10.1016/S0294-1449(01)00075-0zbMath1052.49018arXivmath/0006032OpenAlexW2017432929WikidataQ127725483 ScholiaQ127725483MaRDI QIDQ5945800

Massimiliano Morini, Maria Giovanna Mora

Publication date: 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006032

zbMATH Keywords

calibrationsfree discontinuity problemsMumford-Shah functional

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions (49K99)

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Cites Work

• Partial differential equations. 4th ed
• Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
• Optimal approximations by piecewise smooth functions and associated variational problems
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