Non-local approximation of functionals: variational and evolution problems

Massimo Gobbino

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 315-324
  • ISSN: 0392-4041

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Gobbino, Massimo. "Non-local approximation of functionals: variational and evolution problems." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 315-324. <http://eudml.org/doc/195154>.

@article{Gobbino2000,
author = {Gobbino, Massimo},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {free discontinuity problems; non-local approximating functionals; Gamma-convergence},
language = {eng},
month = {6},
number = {2},
pages = {315-324},
publisher = {Unione Matematica Italiana},
title = {Non-local approximation of functionals: variational and evolution problems},
url = {http://eudml.org/doc/195154},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Gobbino, Massimo
TI - Non-local approximation of functionals: variational and evolution problems
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 315
EP - 324
LA - eng
KW - free discontinuity problems; non-local approximating functionals; Gamma-convergence
UR - http://eudml.org/doc/195154
ER -

References

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  1. AMBROSIO, L.; A Compactness Theorem for a New Class of Functions of Bounded Variation, Boll. Un. Mat. Ital., 3-B (1989), 857-881. Zbl0767.49001
  2. AMBROSIO, L., Free Discontinuity Problems and Special Functions with Bounded Variation, Proceedings ECM2 Budapest 1996, Progress in Mathematics, 168 (1998), 15-35. Zbl0909.49002MR1645795
  3. BRAIDES, A., Approximation of Free-Discontinuity Problems, Springer Verlag, 1998. Zbl0909.49001MR1651773
  4. DE GIORGI, E., Congetture riguardanti alcuni problemi di evoluzione, A celebration of J. F. Nash Jr, Duke Math. J., 81, 255-268. Zbl0874.35027
  5. GOBBINO, M., Finite Difference Approximation of the Mumford-Shah Functional, Comm. Pure Appl. Math., 51 (1998), 197-228. Zbl0888.49013MR1488299
  6. GOBBINO, M., Gradient Flow for the one-dimensional Mumford-Shah Functional, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), Vol. XXVII (1998), 145-193. Zbl0931.49010MR1658873
  7. GOBBINO, M.- MORA, M. G., Finite Difference Approximation of of Free Discontinuity Problems, to appear on «The Royal Society of Edinburgh Proceedings A». Zbl1001.49019MR1838502
  8. MUMFORD, D.- SHAH, J.; Optimal Approximation by Piecewise Smooth Functions and Associated Variational Problem, Comm. Pure Appl. Math., 17 (1989), 577-685. Zbl0691.49036

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