Optimization of the shape and the location of the actuators in an internal control problem

Antoine Henrot; Hervé Maillot

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 3, page 737-757
  • ISSN: 0392-4041

How to cite

top

Henrot, Antoine, and Maillot, Hervé. "Optimization of the shape and the location of the actuators in an internal control problem." Bollettino dell'Unione Matematica Italiana 4-B.3 (2001): 737-757. <http://eudml.org/doc/195141>.

@article{Henrot2001,
author = {Henrot, Antoine, Maillot, Hervé},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {737-757},
publisher = {Unione Matematica Italiana},
title = {Optimization of the shape and the location of the actuators in an internal control problem},
url = {http://eudml.org/doc/195141},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Henrot, Antoine
AU - Maillot, Hervé
TI - Optimization of the shape and the location of the actuators in an internal control problem
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/10//
PB - Unione Matematica Italiana
VL - 4-B
IS - 3
SP - 737
EP - 757
LA - eng
UR - http://eudml.org/doc/195141
ER -

References

top
  1. ALMGREN, F.- LIEB, E. H., Symmetric rearrangement is sometimes continuous, J. Amer. Math. Soc., 2 (1989), 683-773. Zbl0688.46014MR1002633
  2. BEDNARCZUK, E.- PIERRE, M.- ROUY, E.- SOKOLOWSKI, J., Calculating Tangent Sets to Certain Sets in Functional Spaces, to appear in Nonlinear Analysis T.M.A. Zbl0995.90097
  3. BUTTAZZO, G.- DAL MASO, G., Shape Optimization for Dirichlet Problems: Relaxed Formulation and Optimality Conditions, Bull. Amer. Math. Soc., 23 (1990), 531-535, and Appl. Math. Optim., 23 (1991), 17-49. Zbl0762.49017MR1076053
  4. BUTTAZZO, G.- DAL MASO, G., An Existence Result for a Class of Shape Optimization Problems, Arch. Rat. Mech. Anal., 122 (1993), 183-195. Zbl0811.49028MR1217590
  5. CHIPOT, M.- DAL MASO, G., Relaxed Shape Optimization: the Case of Nonnegative Data for the Dirichlet Problem, Adv. Math. Sci. Appl., 1 (1992), 47-81. Zbl0769.35013MR1161483
  6. COMINETTI, R.- PENOT, J. P., Tanget Sets to Unilateral Sets, C. R. Acad. Sci. Paris, vol. 321 (1995), série I, 1631-1636. Zbl0866.49026MR1367820
  7. COX, S.- UHLIG, P. X., Where Best to Hold a Drum Fast, SIAM J. Optim., 9, n. 4 (1999), 948-964. Zbl0966.35092MR1724771
  8. HENROT, A.- PIERRE, M., Optimisation de forme, book to appear. 
  9. HAYOUNI, M., Sur la minimisation de la première valeur propre du Laplacien, to appear. MR1760437
  10. KOHN, R. V.- STRANG, G., Optimal Design and Relaxation of Variational Problems I, II, III, Comm. Pure Appl. Math., 39 (1986), 113-137, 139-182, 353-377. Zbl0621.49008MR820342
  11. LIONS, J. L., Contrôle Optimal de Systèmes Gouvernés par des Equations aux Dérivées Partielles, Dunod, Paris, 1968. Zbl0179.41801MR244606
  12. MAILLOT, H., Optimisation de forme pour le contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles., PhD Thesis, Besançon, 1998. Zbl0237.49021
  13. SVERAK, V., On Optimal Design, J. Maths Pures Appl., 72 (1993), 537-551. Zbl0849.49021MR1249408

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.