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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 270, Pages 266–280 (Mi tm3022)  
This article is cited in 13 scientific papers (total in 13 papers)

Correctors for some asymptotic problems

Michel Chipot, Senoussi Guesmia

Institute of Mathematics, University of Zürich, Zürich, Switzerland
Full-text PDF (57 kB) Citations (13)
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Abstract: In the theory of anisotropic singular perturbation boundary value problems, the solution $u_\varepsilon$ does not converge, in the $H^1$-norm on the whole domain, towards some $u_0$. In this paper we construct correctors to have good approximations of $u_\varepsilon$ in the $H^1$-norm on the whole domain. Since the anisotropic singular perturbation problems can be connected to the study of the asymptotic behaviour of problems defined in cylindrical domains becoming unbounded in some directions, we transpose our results for such problems.
Received in March 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 270, Pages 263–277
DOI: https://doi.org/10.1134/S0081543810030211
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: Michel Chipot, Senoussi Guesmia, “Correctors for some asymptotic problems”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 270, MAIK Nauka/Interperiodica, Moscow, 2010, 266–280; Proc. Steklov Inst. Math., 270 (2010), 263–277
Citation in format AMSBIB
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\paper Correctors for some asymptotic problems
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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