LOCAL CALIBRATIONS FOR MINIMIZERS OF THE MUMFORD–SHAH FUNCTIONAL WITH A TRIPLE JUNCTION

DOI10.1142/S0219199702000646zbMath1017.49018arXivmath/0105057OpenAlexW2051800433MaRDI QIDQ4546070

Maria Giovanna Mora

Publication date: 18 August 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105057

zbMATH Keywords

Mumford-Shah functionalcalibration methodfree discontinuity problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items

A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional ⋮ The calibration method for the thermal insulation functional ⋮ Unnamed Item ⋮ A selective review on Mumford-Shah minimizers

Cites Work

• Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
• Optimal approximations by piecewise smooth functions and associated variational problems
• The calibration method for the mumford-shah functional
• Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set.

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