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Matematicheskie Zametki, 2005, Volume 78, Issue 3, Pages 396–408
DOI: https://doi.org/10.4213/mzm2596 (Mi mzm2596) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Homogenization of Semilinear Parabolic Operators in a Perforated Cylinder

H. Matevossian, I. V. Filimonova

M. V. Lomonosov Moscow State University
Full-text PDF (237 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2596
Abstract: In this paper, we consider a semilinear parabolic equation of second order with lower term a power function of the unknown function and prove that the sequence of solutions in a perforated cylinder tends to a solution in a unperforated cylinder if the radii of rejected balls in the parabolic metric tend to zero at the rate depending on the exponent of the power function in the lower term.
Received: 09.06.2003
English version:
Mathematical Notes, 2005, Volume 78, Issue 3, Pages 364–374
DOI: https://doi.org/10.1007/s11006-005-0135-7
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: H. Matevossian, I. V. Filimonova, “Homogenization of Semilinear Parabolic Operators in a Perforated Cylinder”, Mat. Zametki, 78:3 (2005), 396–408; Math. Notes, 78:3 (2005), 364–374
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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