Abstract:
In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain. © EDP Sciences, SMAI 2016.
Registro:
Documento: |
Artículo
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Título: | A shape optimization problem for steklov eigenvalues in oscillating domains |
Autor: | Bonder, J.F.; Spedaletti, J.F. |
Filiación: | Departamento de Mateḿatica FCEN, Universidad de Buenos Aires and IMAS - CONICET. Ciudad Universitaria, Pabellón I (C1428EGA) Av. Cantilo 2160, Buenos Aires, Argentina Departamento de Mateḿatica, Universidad Nacional de San Luis and IMASL - CONICET, Ejercito de Los Andes 950 (D5700HHW), San Luis, Argentina
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Palabras clave: | Eigenvalues and eigenfunctions; Optimization; Asymptotic behaviors; Diffeomorphic; Eigenvalues; Optimal design; Shape optimization problem; Shape optimization |
Año: | 2015
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Volumen: | 2015-January
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DOI: |
http://dx.doi.org/10.1051/cocv/2015050 |
Título revista: | ESAIM - Control, Optimisation and Calculus of Variations
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Título revista abreviado: | Control Optimisation Calc. Var.
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ISSN: | 12928119
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CODEN: | ECOVF
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12928119_v2015-January_n_p_Bonder |
Referencias:
- Bensoussan, A., Lions, J.-L., Papanicolaou, G., (2011) Asymptotic Analysis for Periodic Structures. Corrected Reprint of the 1978 Original, , AMS Chelsea Publishing, Providence, RI
- Braides, A., (2002) Γ-Convergence for Beginners, 22. , of Oxford Lecture Series in Mathematics and its Applications. Oxford University Press, Oxford
- Cioranescu, D., Murat, F., A strange term coming from nowhere (1997) Topics in the Mathematical Modelling of Composite Materials, 31, pp. 45-93. , of Progr. Nonlinear Differential Equations Appl. Birkhauser Boston, Boston, MA
- Maso, G.D., (1993) An Introduction to Γ-Convergence, 8. , of Progress in Nonlinear Differential Equations and their Applications. Birkhauser Boston, Inc. Boston, MA
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- Denzler, J., Windows of given area with minimal heat diffusion (1999) Trans. Amer. Math. Soc., 351, pp. 569-580
- Bonder, J.F., Groisman, P., Rossi, J.D., Optimization of the first Steklov eigenvalue in domains with holes: A shape derivative approach (2007) Ann. Mat. Pura Appl, 186, pp. 341-358
- Bonder, J.F., Orive, R., Rossi, J.D., The best Sobolev trace constant in a domain with oscillating boundary (2007) Nonlinear Anal, 67, pp. 1173-1180
- Bonder, J.F., Rossi, J.D., Existence results for the p-Laplacian with nonlinear boundary conditions (2001) J. Math. Anal. Appl., 263, pp. 195-223
- Henrot, A., Pierre, M., (2005) Variation et Optimisation de Formes. Une Analyse Géométrique (A Geometric Analysis), 48. , of Mathématiques & Applications (Berlin) [Mathematics & Applications]. Springer, Berlin
- Sánchez-Palencia, E., (1980) Nonhomogeneous Media and Vibration Theory, 12. , of Lect. Notes Phys. Springer-Verlag, Berlin, New York
- Simon, J., (1978) Régularité de la Solution D'une Équation Non Linéaire dans RN, pp. 205-227. , Journées d'Analyse Non Lińeaire (Proc. Conf. Besaņcon, 1977). Vol. 665 of Lect. Notes Math. Springer, Berlin
Citas:
---------- APA ----------
Bonder, J.F. & Spedaletti, J.F.
(2015)
. A shape optimization problem for steklov eigenvalues in oscillating domains. ESAIM - Control, Optimisation and Calculus of Variations, 2015-January.
http://dx.doi.org/10.1051/cocv/2015050---------- CHICAGO ----------
Bonder, J.F., Spedaletti, J.F.
"A shape optimization problem for steklov eigenvalues in oscillating domains"
. ESAIM - Control, Optimisation and Calculus of Variations 2015-January
(2015).
http://dx.doi.org/10.1051/cocv/2015050---------- MLA ----------
Bonder, J.F., Spedaletti, J.F.
"A shape optimization problem for steklov eigenvalues in oscillating domains"
. ESAIM - Control, Optimisation and Calculus of Variations, vol. 2015-January, 2015.
http://dx.doi.org/10.1051/cocv/2015050---------- VANCOUVER ----------
Bonder, J.F., Spedaletti, J.F. A shape optimization problem for steklov eigenvalues in oscillating domains. Control Optimisation Calc. Var. 2015;2015-January.
http://dx.doi.org/10.1051/cocv/2015050