On the asymptotic behavior of solutions of nonlinear second-order parabolic equations |
| |
Authors: | V. A. Kondratiev |
| |
Affiliation: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119991, Russia |
| |
Abstract: | We study the asymptotic behavior as t → +∞ of solutions to a semilinear second-order parabolic equation in a cylindrical domain bounded in the spatial variable. We find the leading term of the asymptotic expansion of a solution as t → +∞ and show that each solution of the problem under consideration is asymptotically equivalent to a solution of some nonlinear ordinary differential equation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|