Asymptotic behaviour of the solutions of non-linear elliptic and parabolic systems in tube domains
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
The paper is devoted to the study of the asymptotic behaviour of solutions of weakly non-linear elliptic and parabolic systems of second-order equations. In particular, the behaviour as t{yields}+{infinity} of the solution of a second-order non-linear parabolic equation satisfying a Neumann boundary condition at the boundary of a bounded Lipschitz domain is studied. The proofs are based on a result on the asymptotic equivalence of two systems of ordinary differential equations.
- OSTI ID:
- 21202771
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 189; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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