On the asymptotic behaviour of elliptic problems with periodic data

Michel Chipot; Yitian Xie

doi:10.1016/j.crma.2004.09.007

Partial Differential Equations

On the asymptotic behaviour of elliptic problems with periodic data

Presented by: Philippe G. Ciarlet

Michel Chipot ¹; Yitian Xie ¹

¹ University of Zürich, Angewandte Mathematik, Winterthurerstrasse, 190, CH-8057 Zürich, Switzerland

Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 477-482.

Abstract
Résumé

We study the asymptotic behaviour of the solution of elliptic problems with periodic data when the size of the domain on which the problem is set becomes unbounded.

On s'intéresse au comportement asymptotique de la solution de problèmes elliptiques à données périodiques lorsque la taille de l'ouvert sur lequel le problème est posé devient infinie.

Received: 2004-08-30
Accepted: 2004-09-07
Published online: 2004-09-25

DOI: 10.1016/j.crma.2004.09.007

Author's affiliations:

Michel Chipot ¹; Yitian Xie ¹

¹ University of Zürich, Angewandte Mathematik, Winterthurerstrasse, 190, CH-8057 Zürich, Switzerland

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     author = {Michel Chipot and Yitian Xie},
     title = {On the asymptotic behaviour of elliptic problems with periodic data},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {477--482},
     publisher = {Elsevier},
     volume = {339},
     number = {7},
     year = {2004},
     doi = {10.1016/j.crma.2004.09.007},
     language = {en},
}

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Michel Chipot; Yitian Xie. On the asymptotic behaviour of elliptic problems with periodic data. Comptes Rendus. Mathématique, Volume 339 (2004) no. 7, pp. 477-482. doi : 10.1016/j.crma.2004.09.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.09.007/

References
Cited by

[1] M. Chipot ℓ Goes to Plus Infinity, Birkhäuser, 2002

[2] M. Chipot, Y. Xie, in preparation

[3] M. Chipot, Y. Xie, in preparation

[4] D. Cioranescu; P. Donato An Introduction to Homogenization, Oxford Lecture Series, vol. 17, Oxford University Press, 1999

[5] R. Dautray; J.L. Lions Mathematical Analysis and Numerical Methods for Science and Technology, Springer-Verlag, 1988

[6] D. Gilbarg; N.S. Trudinger Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983

[7] M. Meier Liouville Theorems for nonlinear elliptic equations and systems, Manuscripta Math., Volume 29 (1979), pp. 207-228

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