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This article is cited in 2 scientific papers (total in 2 papers)
Asymptotic behaviour of solutions of
semilinear parabolic equations
Yu. V. Egorova, V. A. Kondratievb a Université Paul Sabatier
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The asymptotic behaviour of solutions of a second-order semilinear parabolic
equation is analyzed in a cylindrical domain that is bounded in the space
variables. The dominant term of the asymptotic expansion of the solution as
$t\to+\infty$ is found. It is shown that the solution of this problem is asymptotically equivalent to the solution of
a certain non-linear ordinary differential equation.
Bibliography: 8 titles.
Received: 07.05.2007 and 27.09.2007
Citation:
Yu. V. Egorov, V. A. Kondratiev, “Asymptotic behaviour of solutions of
semilinear parabolic equations”, Mat. Sb., 199:4 (2008), 65–82; Sb. Math., 199:4 (2008), 539–556
Linking options:
https://www.mathnet.ru/eng/sm3864https://doi.org/10.1070/SM2008v199n04ABEH003932 https://www.mathnet.ru/eng/sm/v199/i4/p65
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Abstract page: | 633 | Russian version PDF: | 266 | English version PDF: | 22 | References: | 91 | First page: | 21 |
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