Minimum problems on with irregular boundary datum
Rendiconti del Seminario Matematico della Università di Padova (1997)
- Volume: 98, page 193-211
- ISSN: 0041-8994
Access Full Article
topHow to cite
topCelada, Pietro. "Minimum problems on $SBV$ with irregular boundary datum." Rendiconti del Seminario Matematico della Università di Padova 98 (1997): 193-211. <http://eudml.org/doc/108441>.
@article{Celada1997,
author = {Celada, Pietro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {SBV functions; free discontinuity problems; boundary value problems; special functions with bounded variation; Mumford-Shah functional},
language = {eng},
pages = {193-211},
publisher = {Seminario Matematico of the University of Padua},
title = {Minimum problems on $SBV$ with irregular boundary datum},
url = {http://eudml.org/doc/108441},
volume = {98},
year = {1997},
}
TY - JOUR
AU - Celada, Pietro
TI - Minimum problems on $SBV$ with irregular boundary datum
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 98
SP - 193
EP - 211
LA - eng
KW - SBV functions; free discontinuity problems; boundary value problems; special functions with bounded variation; Mumford-Shah functional
UR - http://eudml.org/doc/108441
ER -
References
top- [1] L. Ambrosio, A compactness theorem for a special class of functions of boundede variation, Boll. Un. Mat. Ital., 3B (1989), pp. 857-881. Zbl0767.49001MR1032614
- [2] L. Ambrosio - A. Braides, Energies in SBV and variational models in fracture mechanics, Proceedings of the Euro Homogenization Congress, Nice, Gakuto Int. Series-Math. Sci. Appl., 9 (1997), pp. 1-22. Zbl0904.73045MR1473974
- [3] L. Ambrosio - N. FUSCO - D. PALLARA, Partial regularity of free discontinuity sets, II and III, preprintUniversità di Pisa (1994). Zbl0896.49024
- [4] L. Ambrosio - D. PALLARA, Partial regularity of free discontinuity sets, I, preprintUniversità di Pisa (1994).
- [5] G. Bellettini - A. Coscia - G. Dal Maso, Special functions of bounded deformation, preprint SISSA, Trieste (1955).
- [6] G. Bouchitte - A. BRAIDES - G. BUTTAZZO, Relaxation offree discontinuity problems, J. Reine Angew. Math., 458 (1995), pp. 1-18. Zbl0817.49015MR1310950
- [7] A. Braides - V. DE CICCO, New lower semicontinuity and relaxation results for functionals defined on BV(Ω), Adv. Math. Sci. Appl., 6 (1996), pp. 1-30. Zbl0870.49008
- [8] M. Carriereo - A. Leaci, Existence theorem for a Direchlet problem with free discontinuity set, Nonlinear Anal., 15 (1990), pp. 661-677. Zbl0713.49003MR1073957
- [9] E. De Giorgi, Free discontinuity problems in Calculus of Variations, in Analyse mathématique et applications, Gauthier-Villars, Paris (1988). Zbl0758.49002
- [10] E. DeGIORGI - L. AMBROSIO, Un nuovo tipo di funzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 82 (1988), pp. 199-210. Zbl0715.49014MR1152641
- [11] E. DeGIORGI - M. CARRIERO - A. LEACI, Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal., 108 (1989), pp. 195-218. Zbl0682.49002MR1012174
- [12] L.C. Evans - R. Gariepy, Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton (1992). Zbl0804.28001MR1158660
- [13] H. Federer, Geometric Measure Theory, Springer-Verlag, Berlin (1969). Zbl0874.49001MR257325
- [14] M. Miranda, Comportamento delle successioni convergenti di frontiere minimali, Rend. Sem. Univ. Padova, 38 (1967), pp. 238-257. Zbl0154.37102MR222735
- [15] D. Mumford - J. SHAH, Boundary detection by minimizing functionals, in Proc. IEEE Conf. on Computer Vision andPattern Recognition, San Francisco (1985).
- [16] L. Simon, Lectures on geometric measure theory, in Proceedings of the Centre of Mathematical Analysis, Canberra (1984). Zbl0546.49019MR756417
- [17] R. Temam, Mathematical Problems in Plasticity, Gauthier-Villars, Paris (1985).
- [18] E.G. Virga, Drops of nematic liquid crystals, Arch. Rational Mech. Anal., 75 (1980), pp. 7-21. Zbl0688.76074MR1004716
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.