Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale
ESAIM: Control, Optimisation and Calculus of Variations (1997)
- Volume: 2, page 105-123
- ISSN: 1292-8119
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topBarkatou, M., and Henrot, A.. "Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 105-123. <http://eudml.org/doc/90502>.
@article{Barkatou1997,
author = {Barkatou, M., Henrot, A.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {shape optimization},
language = {fre},
pages = {105-123},
publisher = {EDP Sciences},
title = {Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale},
url = {http://eudml.org/doc/90502},
volume = {2},
year = {1997},
}
TY - JOUR
AU - Barkatou, M.
AU - Henrot, A.
TI - Un résultat d'existence en optimisation de forme en utilisant une propriété géométrique de la normale
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1997
PB - EDP Sciences
VL - 2
SP - 105
EP - 123
LA - fre
KW - shape optimization
UR - http://eudml.org/doc/90502
ER -
References
top- [1] H. W. Alt, L.A. Caffarelli : Existence and regularity for a minimum problem with free boundary, J. Reine angew. Math., 325, 1981, 105-144. Zbl0449.35105MR618549
- [2] M. Barkatou : Thèse de l'Université de Franche-Comté, 1997.
- [3] J.A. Bello, E. Fernandez-Cara, J. Lemoine, J. Simon : On drag differentiability for Lipschitz domains, Control of Partial Differential Equations and Applications, Lecture Notes in Pure and Applied Mathematics Series 174, Dekker, New York, 1995. Zbl0860.35093MR1364633
- [4] D. Bucur, J.P. Zolesio : N-dimensional shape optimization under capacitary constraints, J. of Diff. Eq., 123-2, 1995, 504-522. Zbl0847.49029MR1362884
- [5] D. Bucur, J.P. Zolesio : Boundary optimization under pseudo-curvature constraint, Ann. Scuola Norm. Pisa, à paraître, 1996. Zbl0889.49026MR1469570
- [6] D. Chenais : On the existence of a solution in a domain identification problem, J. Math. Anal. Appl., 52, 1975, 189-289. Zbl0317.49005MR385666
- [7] D. Chenais : Sur une famille de variétés à bord lipschitziennes, application à un problème d'identification de domaine, Ann. Inst. Fourier, 4-27, 1977, 201-231. Zbl0333.46020MR473802
- [8] B. Gustafsson, H. Shahgholian : Existence and geometric properties of solutions of a free boundary problem in potential theory, à paraître dans J. für die Reine und Ang. Math. Zbl0846.31005
- [9] L. I. Hedberg : Spectral synthesis and stability in Sobolev spaces, Euclidean Harmonic Analysis, Lecture Notes in Mathematics, J.J. Benedetto ed., 779, Springer, Berlin, 1980. Zbl0469.31003MR576040
- [10] A. Henrot : Continuity with respect to the domain for the laplacian : a survey, Control and Cybernetics, 23-3, 1994, 427-443. Zbl0822.35029MR1303362
- [11] A. Henrot : Subsolutions and supersolutions in a free boundary problem, Arkiv für Math., 32-1, 1994, 79-98. Zbl0809.35172MR1277921
- [12] M. V. Keldyš : On the solvability and the stability of the Dirichlet problem, Amer. Math. Soc. Trans., 2-51, 1-73, 1966. Zbl0179.43901
- [13] N. S. Landkof : Foundations of modern potential theory, Springer, Berlin, 1972. Zbl0253.31001MR350027
- [14] F. Murat, J. Simon : Quelques résultats sur le contrôle par un domaine géométrique, Publ. du labo. d'Anal. Num., Paris VI, 1-46, 1974.
- [15] O. Pironneau : Optimal shape design for elliptic systems, Springer Series in Computational Physics, Springer, New York, 1984. Zbl0534.49001MR725856
- [16] H. Shahgholian : Quadrature surfaces as free boundaries, Arkiv für Math., 32-2, 1994, 475-492. Zbl0827.31004MR1318543
- [17] J. Sokolowski, J. P. Zolesio : Introduction to shape optimization : shape sensitity analysis, Springer Series in Computational Mathematics, 10, Springer, Berlin, 1992. Zbl0761.73003MR1215733
- [18] V. Šverak : On optimal shape design, J. Maths Pures Appl., 72-6, 1993, 537-551. Zbl0849.49021MR1249408
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