no. 4
Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set
Annales de l'I.H.P. Analyse non linéaire, Tome 18 (2001) no. 4, pp. 403-436 
@article{AIHPC_2001__18_4_403_0,
     author = {Mora, Maria Giovanna and Morini, Massimiliano},
     title = {Local calibrations for minimizers of the {Mumford-Shah} functional with a regular discontinuity set},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {403--436},
     year = {2001},
     publisher = {Elsevier},
     volume = {18},
     number = {4},
     zbl = {1052.49018},
     language = {en},
     url = {https://www.numdam.org/item/AIHPC_2001__18_4_403_0/}
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Mora, Maria Giovanna; Morini, Massimiliano. Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set. Annales de l'I.H.P. Analyse non linéaire, Tome 18 (2001) no. 4, pp. 403-436. https://www.numdam.org/item/AIHPC_2001__18_4_403_0/

[1] Alberti G, Bouchitté G, Dal Maso G, The calibration method for the Mumford-Shah functional, Preprint SISSA, Trieste, 1998.

[2] Ambrosio L, A compactness theorem for a new class of variational problems, Boll. Un. Mat. It. 3-B (1989) 857-881. | Zbl | MR

[3] Ambrosio L, Fusco N, Pallara D, Functions of Bounded Variation and Free-Discontinuity Problems, Oxford University Press, Oxford, 2000. | Zbl | MR

[4] Chavel I, Riemannian Geometry - A Modern Introduction, Cambridge University Press, Cambridge, 1993. | Zbl

[5] Dal Maso G, Mora M.G, Morini M, Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity set, J. Math. Pures Appl. 79 (2) (2000) 141-162. | Zbl

[6] Hartman P, Ordinary Differential Equations, Birkhäuser, Boston, 1982. | Zbl | MR

[7] John F, Partial Differential Equations, Springer-Verlag, New York, 1982. | Zbl | MR

[8] Mumford D, Shah J, Boundary detection by minimizing functionals, I, in: Proc. IEEE Conf. on Computer Vision and Pattern Recognition, San Francisco, 1985.

[9] Mumford D, Shah J, Optimal approximation by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 42 (1989) 577-685. | Zbl | MR