This article is cited 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.

UDC: 517.95

Received: 09.06.2003

DOI: 10.4213/mzm2596

 English version: Mathematical Notes, 2005, 78:3, 364–374

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