In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion (Theorem 1) to verify if a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are minimizing (Example 3).
The calibration method for the Mumford-Shah functional
ALBERTI, GIOVANNI;
1999-01-01
Abstract
In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion (Theorem 1) to verify if a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are minimizing (Example 3).File in questo prodotto:
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