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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 3, Pages 34–51
DOI: https://doi.org/10.4213/faa3155 (Mi faa3155) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients

S. E. Pastukhova

Moscow Institute of Radio-Engineering, Electronics and Automation
Full-text PDF (225 kB) Citations (12)
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DOI: https://doi.org/10.4213/faa3155
Abstract: A multiscale homogenization estimate for a parabolic diffusion equation under minimal regularity conditions is proved. This makes it possible to treat the result as an estimate in the operator norm for the difference of the operator exponentials of the initial and homogenized equations.
Keywords: homogenization, operator-type estimates, locally periodic and multiscale coefficients, shift parameters.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00192а
Russian Science Foundation 14-11-00398
Received: 03.09.2012
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 3, Pages 183–197
DOI: https://doi.org/10.1007/s10688-014-0060-1
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: S. E. Pastukhova, “Approximation of the Exponential of a Diffusion Operator with Multiscale Coefficients”, Funktsional. Anal. i Prilozhen., 48:3 (2014), 34–51; Funct. Anal. Appl., 48:3 (2014), 183–197
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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