Asymptotics at infinity of solutions to the Neumann problem in a sieve-type layerComportement asymptotique à l'infini d'un problème de Neumann dans une couche perforée |
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| Authors: | Sergue?? A Nazarov Gudrun Thäter |
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| Institution: | 1. Inst. of Mechanical Engineering Problems, V. O. Bol''sho?? pr. 61, St. Petersburg, 199178, Russia;2. Institut für Angewandte Mathematik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany |
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| Abstract: | The Neumann problem is considered in a domain , which can differ from a periodic layer inside a compact set. We prove the Fredholm property of the corresponding operator in step-weighted Sobolev spaces and determine its kernel and cokernel. All these results are based on the obtained asymptotic representation of solutions at infinity. To cite this article: S.A. Nazarov, G. Thäter, C. R. Mecanique 331 (2003). |
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| Keywords: | Computational solid mechanics Periodic layer Homogenization procedure Asymptotic behaviour Step-weighted spaces Mécanique des solides numérique Couche périodique Processus d'homogénéisation Comportement asymptotique Espaces avec poids |
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