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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 1, Pages 22–33
DOI: https://doi.org/10.7868/S0044466915010032 (Mi zvmmf10132) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation

V. B. Andreev

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
Full-text PDF (259 kB) Citations (4)
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DOI: https://doi.org/10.7868/S0044466915010032
Abstract: The first boundary value problem for a one-dimensional singularly perturbed convection-diffusion equation with variable coefficients on a finite interval is considered. For the regular component of the solution, unimprovable a priori estimates in the Hölder norms are obtained. The estimates are unimprovable in the sense that they fail on any weakening of the estimating norm.
Key words: singularly perturbed equation, convection-diffusion, decomposition of solution, unimprovable estimates, Hölder spaces.
Received: 26.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 1, Pages 19–30
DOI: https://doi.org/10.1134/S0965542515010030
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: V. B. Andreev, “Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:1 (2015), 22–33; Comput. Math. Math. Phys., 55:1 (2015), 19–30
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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