Using a calibration method, we prove that, if w is a function which satisfies all the Euler conditions for the Mumford–Shah functional on a two-dimensional open set Omega and the discontinuity set of w is a segment connecting two boundary points, then for every point in Omega there exists a neighbourhood U of the point such that w is a minimizer of the Mumford–Shah functional on U with respect to its own boundary values.
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Titolo: | Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets | |
Autori: | ||
Data di pubblicazione: | 2000 | |
Rivista: | ||
Abstract: | Using a calibration method, we prove that, if w is a function which satisfies all the Euler conditions for the Mumford–Shah functional on a two-dimensional open set Omega and the discontinuity set of w is a segment connecting two boundary points, then for every point in Omega there exists a neighbourhood U of the point such that w is a minimizer of the Mumford–Shah functional on U with respect to its own boundary values. | |
Handle: | http://hdl.handle.net/11571/363564 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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