Distance between components in optimal design problems with perimeter penalization

Christopher J. Larsen

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)

  • Volume: 28, Issue: 4, page 641-649
  • ISSN: 0391-173X

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Larsen, Christopher J.. "Distance between components in optimal design problems with perimeter penalization." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 28.4 (1999): 641-649. <http://eudml.org/doc/84391>.

@article{Larsen1999,
author = {Larsen, Christopher J.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {optimal design; interfacial energies; variational problems; minimizers},
language = {eng},
number = {4},
pages = {641-649},
publisher = {Scuola normale superiore},
title = {Distance between components in optimal design problems with perimeter penalization},
url = {http://eudml.org/doc/84391},
volume = {28},
year = {1999},
}

TY - JOUR
AU - Larsen, Christopher J.
TI - Distance between components in optimal design problems with perimeter penalization
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1999
PB - Scuola normale superiore
VL - 28
IS - 4
SP - 641
EP - 649
LA - eng
KW - optimal design; interfacial energies; variational problems; minimizers
UR - http://eudml.org/doc/84391
ER -

References

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  1. [1] L. Ambrosio - G. Buttazzo, An optimal design problem with perimeter penalization, Calc. Var. Partial Differential Equations1 (1993), 55-69. Zbl0794.49040MR1261717
  2. [2] A. CHERKAEV - R. KOHN (eds.), "Topics in the Mathematical Modelling of Composite Materials", Progress in Nonlinear Differential Equations and Their Applications, 31, Birkhäuser, Boston, 1997. Zbl0870.00018MR1493036
  3. [3] L.C. Evans - R.F. Gariepy, "Measure Theory and Fine Properties of Functions", CRC Press, Boca Raton, 1992. Zbl0804.28001MR1158660
  4. [4] M. Giaquinta, "Introduction to Regularity Theory for Nonlinear Elliptic Systems", Birkhäuser, Basel, 1993. Zbl0786.35001MR1239172
  5. [5] C.J. Larsen, A new proof of regularity for two-shaded image segmentations, Manuscripta Math.96 (1998), 247-262. Zbl0905.49018MR1624541
  6. [6] F.H. Lin, Variational problems with free interfaces, Calc. Var. Partial Differential Equations1 (1993), 149-168. Zbl0794.49038MR1261721
  7. [7] K. Lurie - A. Cherkaev, Effective characteristics of composite materials and the optimal design of structural elements, Adv. Mech.9 (1986), 3-81. MR885713
  8. [8] F. Murat - L. Tartar, Calcul des Variations et Homogénéisation, Les Méthodes de l'Homogénéisation Théorie et Applications en Physique, Coll. Dir. Etudes et Recherches EDF, Eyrolles (1985), 319-369. MR844873
  9. [9] W.P. Ziemer, "Weakly Differentiable Functions", Springer-Verlag, Berlin, 1989. Zbl0692.46022MR1014685

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