Partial regularity of free discontinuity sets, II
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Volume 24 (1997) no. 1, p. 39-62
@article{ASNSP_1997_4_24_1_39_0,
     author = {Ambrosio, Luigi and Fusco, Nicola and Pallara, Diego},
     title = {Partial regularity of free discontinuity sets, II},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 24},
     number = {1},
     year = {1997},
     pages = {39-62},
     zbl = {0896.49024},
     mrnumber = {1475772},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1997_4_24_1_39_0}
}
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego. Partial regularity of free discontinuity sets, II. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Volume 24 (1997) no. 1, pp. 39-62. http://www.numdam.org/item/ASNSP_1997_4_24_1_39_0/

[1] L. Ambrosio, A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. B 3 (1989), 857-881. | MR 1032614 | Zbl 0767.49001

[2] L. Ambrosio, Existence theory for a new class of variational problems, Arch. Rational Mech. Anal. 111 (1990), 291-322. | MR 1068374 | Zbl 0711.49064

[3] L. Ambrosio, Variational problems in SBV, Acta App. Math. 17 (1989), 1-40. | MR 1029833 | Zbl 0697.49004

[4] L. Ambrosio, A new proof of SBV compactness theorem, Calc. Var. 3 (1995), 127-137. | MR 1384840 | Zbl 0837.49011

[5] L. Ambrosio - D. Pallara, Partial regularity of free discontinuity sets I, Ann. Scuola Norm. Sup. Pisa Cl. Sci. ???. | Numdam | Zbl 0896.49023

[6] A. Blake - A. Zisserman, Visual Reconstruction, M.I.T. Press, 1987. | MR 919733

[7] A. Bonnet, On the regularity of edges in the Mumford-Shah model for image segmentation, Ann. Inst. H. Poincaré, to appear.

[8] M. Carriero - A. Leaci, Existence theorem for a Dirichlet problem with free discontinuity set, Nonlinear Analysis TMA 15 (1990), 661-677. | MR 1073957 | Zbl 0713.49003

[9] M. Carriero - A. Leaci - D. Pallara - E. Pascali, Euler Conditions for a Minimum Problem with Free Discontinuity Set, Preprint Dip. di Matematica, 8 Lecce, 1988.

[10] M. Carriero - A. Leaci - F. Tomarelli, Plastic free discontinuities and special bounded hessian, C.R. Acad. Sci. Paris Sér. I Math. 314 (1992), 595-600. | MR 1158743 | Zbl 0794.49011

[11] G. Dal Maso - J.M. Morel - S. Solimini, A variational method in image segmentation: existence and approximation results, Acta Math. 168 (1992), 89-151. | MR 1149865 | Zbl 0772.49006

[12] G. David - S. Semmes, On the singular set of minimizers of the Mumford-Shah functional, J. Math. Pures Appl. to appear. | Zbl 0853.49010

[13] G. David, C1-arcs for the minimizers of the Mumford- Shah functional, SIAM J. Appl. Math. 56 (1996), 783-888. | MR 1389754 | Zbl 0870.49020

[14] E. De Giorgi, Free Discontinuity Problems in Calculus of Variations, in: Frontiers in pure and applied Mathematics, a collection of papers dedicated to J.L. Lions on the occasion of his 60th birthday, R. Dautray ed., North Holland, 1991. | MR 1110593 | Zbl 0758.49002

[15] E. De Giorgi - L. Ambrosio, Un nuovo tipo di funzionale del Calcolo delle Variazioni, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 82 (1988), 199-210. | MR 1152641 | Zbl 0715.49014

[16] E. De Giorgi - M. Carriero - A. Leaci, Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal. 108 (1989), 195-218. | MR 1012174 | Zbl 0682.49002

[17] E. Giusti, Minimal surfaces and functions with bounded variation, Birkhäuser, Boston, 1984. | MR 775682 | Zbl 0545.49018

[18] F.H. Lin, Variational problems with free interfaces, Calc. Var. 1 (1993), 149-168. | MR 1261721 | Zbl 0794.49038

[19] J.M. Morel - S. Solimini, Variational models in image segmentation, Birkhäuser, Bostom, 1994.

[20] D. Mumford - J. Shah, Optimal approximation by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 17 (1989), 577-685. | MR 997568 | Zbl 0691.49036

[21] L. Simon, Lectures on Geometric Measure Theory, Proceedings of the Centre for Mathematical Analysis, Australian National University, Canberra, 1983. | MR 756417 | Zbl 0546.49019

[22] W.P. Ziemer, Weakly differentiable functions, Springer Verlag, Berlin, 1989. | MR 1014685 | Zbl 0692.46022