Completion by Gamma-convergence for optimal control problems

Marino Belloni; Giuseppe Buttazzo; Lorenzo Freddi

Annales de la Faculté des sciences de Toulouse : Mathématiques (1993)

  • Volume: 2, Issue: 2, page 149-162
  • ISSN: 0240-2963

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Belloni, Marino, Buttazzo, Giuseppe, and Freddi, Lorenzo. "Completion by Gamma-convergence for optimal control problems." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.2 (1993): 149-162. <http://eudml.org/doc/73316>.

@article{Belloni1993,
author = {Belloni, Marino, Buttazzo, Giuseppe, Freddi, Lorenzo},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {optimal control; -convergence; semicontinuity; shape optimization; differential state equation},
language = {eng},
number = {2},
pages = {149-162},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Completion by Gamma-convergence for optimal control problems},
url = {http://eudml.org/doc/73316},
volume = {2},
year = {1993},
}

TY - JOUR
AU - Belloni, Marino
AU - Buttazzo, Giuseppe
AU - Freddi, Lorenzo
TI - Completion by Gamma-convergence for optimal control problems
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1993
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 2
SP - 149
EP - 162
LA - eng
KW - optimal control; -convergence; semicontinuity; shape optimization; differential state equation
UR - http://eudml.org/doc/73316
ER -

References

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  2. [2] Buttazzo ( G.) and Dal Maso ( G.) .— Shape optimization for Dirichlet problems : relaxed formulation and optimality conditions, Bull. Amer. Math. Soc.23 (1990), pp. 531-535. Zbl0718.49017MR1027896
  3. [3] Buttazzo ( G.) and Dal Maso ( G.) .— Shape optimization for Dirichlet problems : relaxed formulation and optimality conditions, Appl. Math. Optim.23 (1991), pp. 17-49. Zbl0762.49017MR1076053
  4. [4] Buttazzo ( G.) and Dal Maso ( G.) .— An existence result for a class of shape optimization problems, Arch. Rational Mech. Anal. (to appear). Zbl0811.49028MR1217590
  5. [5] Buttazzo ( G.) and Freddi ( L.) .— Functionals defined on measures and applications to non equi-uniformly elliptic problems, Ann. Mat. Pura Appl.159 (1991), pp. 133-149. Zbl0767.35010MR1145094
  6. [6] Cabib ( E.) . — A relaxed control problem for two-phase conductors, Ann. Univ. Ferrara - Sez. VII- Sc. Mat.33 (1987), pp. 207-218. Zbl0696.49013MR958394
  7. [7] Cabib ( E.) and Dal Maso ( G.) .— On a class of optimum problems in structural design, J. Optimization Theory Appl.56 (1988), pp. 39-65. Zbl0617.49005MR922377
  8. [8] Dal Maso ( G.) . — An introduction to Γ-convergence, Birkhäuser, Boston (1993). Zbl0816.49001MR1201152
  9. [9] Dal Maso ( G.) and Mosco ( U.) .— Wiener's criterion and Γ-convergence, Appl. Math. Optim.15 (1987), pp. 15-63. Zbl0644.35033MR866165
  10. [10] De Giorgi ( E.) and Franzoni ( T.) .— Su un tipo di convergenza variazionale, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.68 (1975), pp. 842-850. Zbl0339.49005MR448194
  11. [11] Lurie ( K.A.) and Cherkaev ( A.V.) .— G-closure of a set of anisotropically conductivity media in the two-dimensional case, J. Optimization Theory Appl.42 (1984), pp. 283-304. Zbl0504.73060MR737972
  12. [12] Lurie ( K.A.) and Cherkaev ( A.V.) .— G-closure of some particular sets of admissible material characteristics for the problem of bending of thin elastic plates, J. Optimization Theory Appl.42 (1984), pp. 305-316. Zbl0525.73102MR737973
  13. [13] Murat ( F.) and Tartar ( L.) .- Optimality conditions and homogenization, Proceeding of "Nonlinear variational problems" , Isola d'Elba 1983, Res. Notes in Math.127Pitman, London (1985), pp. 1-8. Zbl0569.49015MR807532
  14. [14] Tartar ( L.) .— Estimations fines des coefficients homogénéisés, Ennio de Giorgi colloqium, Edited by P. Krée, Res. Notes in Math.125Pitman, London (1985), pp. 168-187. Zbl0586.35004MR909716

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