Big pieces of C 1 , α -graphs for minimizers of the Mumford-Shah functional

Séverine Rigot

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2000)

  • Volume: 29, Issue: 2, page 329-349
  • ISSN: 0391-173X

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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 29.2 (2000): 329-349. <http://eudml.org/doc/84409>.

@article{Rigot2000,
author = {Rigot, Séverine},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {-regularity; Mumford-Shah functional; -constant; Hausdorff dimension; -hypersurface},
language = {eng},
number = {2},
pages = {329-349},
publisher = {Scuola normale superiore},
title = {Big pieces of $C^\{1, \alpha \}$-graphs for minimizers of the Mumford-Shah functional},
url = {http://eudml.org/doc/84409},
volume = {29},
year = {2000},
}

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
PB - Scuola normale superiore
VL - 29
IS - 2
SP - 329
EP - 349
LA - eng
KW - -regularity; Mumford-Shah functional; -constant; Hausdorff dimension; -hypersurface
UR - http://eudml.org/doc/84409
ER -

References

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  7. [7] G. David, C1-arcs for minimizers of the Mumford-Shah functional,, SIAM J. Appl. Math56 (1996), 783-888. Zbl0870.49020MR1389754
  8. [8] G. David - S. Semmes, "Analysis of and on uniformly rectifiable sets", Math. Surveys Monogr., Vol. 38, Amer. Math. Soc., Providence, 1993. Zbl0832.42008MR1251061
  9. [9] G. David - S. Semmes, On the singular sets of minimizers of the Mumford-Shahfunctional, J. Math. Pures Appl. (4) 75 (1996), 299-342. Zbl0853.49010MR1411155
  10. [10] G. David - S. Semmes, Uniform rectifiability and singular sets, Ann. Inst. H. Poincaré Anal. Non Linéaire13 (1996), 383-443. Zbl0908.49030MR1404317
  11. [11] E. De Giorgi - M. Carriero - A. Leaci, Existence theorem fora minimum problem with free discontinuity set, Arch. Rational Mech. Anal.108 (1989), 195-218. Zbl0682.49002MR1012174
  12. [12] F. Maddalena - S. Solimini, Regularity properties of free discontinuity sets, preprint. Zbl1024.49013
  13. [13] D. Mumford - J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math.42 (1989), 577-685. Zbl0691.49036MR997568

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