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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm2596https://doi.org/10.4213/mzm2596 https://www.mathnet.ru/eng/mzm/v78/i3/p396
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Abstract page: | 538 | Full-text PDF : | 218 | References: | 78 | First page: | 2 |
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