no. 1-2
Partial Differential Equations
Exponential rates of convergence by an iteration technique
[Convergences exponentielles par une technique itérative]

Présenté par : Philippe G. Ciarlet

Chipot, Michel1 ; Yeressian, Karen1
1 Institute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland
Comptes Rendus. Mathématique, Tome 346 (2008) no. 1-2, pp. 21-26.

Le but de cette Note est la présentation d'une technique conduisant à une convergence de type exponentiel pour la solution de problèmes posés dans des cylindres dont certaines directions tendent vers l'infini.

The goal of this Note is to introduce a technique leading to a convergence of exponential type for the solution of problems set in cylinders becoming unbounded in some directions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.12.004
Chipot, Michel 1 ; Yeressian, Karen 1

1 Institute of Mathematics, University of Zürich, Winterthurerstrasse 190, CH-8057 Zurich, Switzerland 
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Chipot, Michel; Yeressian, Karen. Exponential rates of convergence by an iteration technique. Comptes Rendus. Mathématique, Tome 346 (2008) no. 1-2, pp. 21-26. doi : 10.1016/j.crma.2007.12.004. http://www.numdam.org/articles/10.1016/j.crma.2007.12.004/

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

[3] M. Chipot, S. Mardare, Asymptotic behaviour of the Stokes problem in cylinders becoming unbounded in one direction, in press

[4] Chipot, M.; Rougirel, A. On the asymptotic behavior of the solution of elliptic problems in cylindrical domains becoming unbounded, Commun. Contemp. Math., Volume 4 (2002) no. 1, pp. 15-24

[5] M. Chipot, K. Yeressian, in preparation

[6] Chipot, M.; Xie, Y. On the asymptotic behaviour of elliptic problems with periodic data, C. R. Acad. Sci. Paris, Ser. I, Volume 339 (2004), pp. 477-482

[7] Chipot, M.; Xie, Y. Elliptic problems with periodic data: an asymptotic analysis, J. Math. Pures Appl., Volume 85 (2006), pp. 345-370

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[10] S. Guesmia, Etude du comportement asymptotique de certaines équations aux dérivées partielles dans des domaines cylindriques, Thèse Université de Haute Alsace, December 2006

[11] Y. Xie, On Asymptotic Problems in Cylinders and Other Mathematical Issues, Thesis University of Zürich, May 2006

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