@article{ASNSP_2000_4_29_2_329_0, author = {Rigot, S\'everine}, title = {Big pieces of $C^{1, \alpha }$-graphs for minimizers of the {Mumford-Shah} functional}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {329--349}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {2}, year = {2000}, zbl = {0960.49024}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2000_4_29_2_329_0/} }
TY - JOUR AU - Rigot, Séverine TI - Big pieces of $C^{1, \alpha }$-graphs for minimizers of the Mumford-Shah functional JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 SP - 329 EP - 349 VL - 29 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2000_4_29_2_329_0/ LA - en ID - ASNSP_2000_4_29_2_329_0 ER -
%0 Journal Article %A Rigot, Séverine %T Big pieces of $C^{1, \alpha }$-graphs for minimizers of the Mumford-Shah functional %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2000 %P 329-349 %V 29 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_2000_4_29_2_329_0/ %G en %F ASNSP_2000_4_29_2_329_0
Rigot, Séverine. Big pieces of $C^{1, \alpha }$-graphs for minimizers of the Mumford-Shah functional. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 29 (2000) no. 2, pp. 329-349. http://www.numdam.org/item/ASNSP_2000_4_29_2_329_0/
[1] 'Sobolev Spaces", Academic Press, New York-London, 1975. | MR | Zbl
, "[2] Existence theory for a new class of variational problems, Arch. Rational Mech. Anal. 111 (1990), 291-322. | MR | Zbl
,[3] Partial regularity of free discontinuity sets II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), 39-62. | Numdam | MR | Zbl
- - ,[4] Existence theorem for a Dirichlet problem with free discontinuity set, Nonlinear Anal. 15 (1990), 661-677. | MR | Zbl
- ,[5] A variational method in image segmentation: existence and approximation results, Acta Math. 168 (1992), 89-151. | MR | Zbl
- - ,[6] Wavelets and singular integrals on curves and surfaces", Lecture Notes in Math, Vol. 1465, Springer-Verlag, Berlin, 1991. | MR | Zbl
, "[7] C1-arcs for minimizers of the Mumford-Shah functional,, SIAM J. Appl. Math 56 (1996), 783-888. | MR | Zbl
,[8] Analysis of and on uniformly rectifiable sets", Math. Surveys Monogr., Vol. 38, Amer. Math. Soc., Providence, 1993. | MR | Zbl
- , "[9] On the singular sets of minimizers of the Mumford-Shahfunctional, J. Math. Pures Appl. (4) 75 (1996), 299-342. | MR | Zbl
- ,[10] Uniform rectifiability and singular sets, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), 383-443. | EuDML | Numdam | MR | Zbl
- ,[11] Existence theorem fora minimum problem with free discontinuity set, Arch. Rational Mech. Anal. 108 (1989), 195-218. | MR | Zbl
- - ,[12] Regularity properties of free discontinuity sets, preprint.
- ,[13] Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math. 42 (1989), 577-685. | MR | Zbl
- ,