Asymptotic behaviour of solutions of semilinear parabolic equations
Journal Article
·
· Sbornik. Mathematics
- Universite Paul Sabatier, Toulouse (France)
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
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{yields}+{infinity} 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.
- OSTI ID:
- 21096794
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 4 Vol. 199; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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