@article{ASNSP_1997_4_24_1_1_0, author = {Ambrosio, Luigi and Pallara, Diego}, title = {Partial regularity of free discontinuity sets, {I}}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {1--38}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 24}, number = {1}, year = {1997}, mrnumber = {1475771}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1997_4_24_1_1_0/} }
TY - JOUR AU - Ambrosio, Luigi AU - Pallara, Diego TI - Partial regularity of free discontinuity sets, I JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 1 EP - 38 VL - 24 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1997_4_24_1_1_0/ LA - en ID - ASNSP_1997_4_24_1_1_0 ER -
%0 Journal Article %A Ambrosio, Luigi %A Pallara, Diego %T Partial regularity of free discontinuity sets, I %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 1-38 %V 24 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1997_4_24_1_1_0/ %G en %F ASNSP_1997_4_24_1_1_0
Ambrosio, Luigi; Pallara, Diego. Partial regularity of free discontinuity sets, I. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 24 (1997) no. 1, pp. 1-38. http://archive.numdam.org/item/ASNSP_1997_4_24_1_1_0/
[1] On the first variation of a varifold, Ann. of Math. 95 (1972), 417-491. | MR | Zbl
,[2] A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. B 3 (1989), 857-881. | MR | Zbl
,[3] Existence theory for a new class of variational problems, Arch. Rational Mech. Anal. 111 (1990), 291-322. | MR | Zbl
,[4] Variational problems in S B V, Acta App. Math. (1989), 1-40. | MR | Zbl
,[5] A new proof of SBV compactness theorem, Calc. Var. 3 (1995), 127-137. | MR | Zbl
,[6] Partial regularity of free discontinuity sets II, (1995), to appear.
- - ,[7] Visual Reconstruction, M.I.T. Press, 1987. | MR
- ,[8] On the regularity of edges in the Mumford-Shah model for image segmentation, Ann. Inst. H. Poincaré, to appear.
,[9] The motion of a surface by its mean curvature, Princeton U.P., 1978. | MR | Zbl
,[10] Existence theorem for a Dirichlet problem withfree discontinuity set, Nonlinear Anal. 15 (1990), 661-677. | MR | Zbl
- ,[11] Sk-valued maps minimizing the Lp norm of the gradient with free discontinuities, Ann. Scuola Norm. Sup. Pisa Cl. Sci IV 18 (1991), 321-352. | Numdam | MR | Zbl
- ,[12] Euler Conditions for a Minimum Problem with Free Discontinuity Set, Preprint Dip. di Matematica 8 Lecce, 1988.
- - - ,[13] Plastic free discontinuities and special bounded hessian, C.R. Acad. Sci. Paris Sér. I Math. 314 (1992), 595-600. | MR | Zbl
- - ,[14] A variational method in image segmentation: existence and approximation results, Acta Math. 168 (1992), 89-151. | MR | Zbl
- - ,[15] On the singular set of minimizers of the Mumford - Shahfunctional, J. Math. Pures Appl., to appear. | Zbl
- ,[16] C1 -arcs for the minimizers of the Mumford- Shah functional, SIAM J. Appl. Math. 56 (1996), 783-888. | MR | Zbl
,[17] 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 | Zbl
,[18] Un nuovo tipo di funzionale del Calcolo delle Variazioni, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. (8) 82 (1988), 199-210. | MR | Zbl
- ,[19] Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal. 108 (1989), 195-218. | MR | Zbl
- - ,[20] Geometric measure theory, Springer Verlag, 1969. | MR | Zbl
,[21] Multiple integrals in the calculus of variations and nonlinear elliptic systems, Princeton U. P., 1983. | MR | Zbl
,[22] Variational problems with free interfaces, Calc. Var. 1 (1993), 149-168. | MR | Zbl
,[23] Variational models in image segmentation, Birkhäuser, 1994.
- ,[24] Optimal approximation by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 17 (1989) 577-685. | MR | Zbl
- ,[25] Regularity of minimizers of the Mumford-Shah functional, In: Foundations of Computational Mathematics, IMPA, Rio de Janeiro, 1997, F. Cucker and M. Shub eds, Springer, pp. 326-345. | MR | Zbl
,[26] Lectures on Geometric Measure Theory, Proceedings of the Centre for Mathematical Analysis, Australian National University, Canberra, 1983. | MR | Zbl
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