Differential and Integral Equations
- Differential Integral Equations
- Volume 15, Number 11 (2002), 1345-1356.
Steady approximate inertial manifolds of exponential order for semilinear parabolic equations
The long time behavior of a class of autonomous semilinear parabolic equations is investigated. We employ the recently introduced concept of Inertial Manifold with Delay to construct a new family of approximate inertial manifolds (AIM) of an exponential order. These AIMs contain all steady states of the system under consideration.
Differential Integral Equations, Volume 15, Number 11 (2002), 1345-1356.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions 35B42: Inertial manifolds 37L25: Inertial manifolds and other invariant attracting sets 37L65: Special approximation methods (nonlinear Galerkin, etc.)
Rezounenko, Alexander V. Steady approximate inertial manifolds of exponential order for semilinear parabolic equations. Differential Integral Equations 15 (2002), no. 11, 1345--1356. https://projecteuclid.org/euclid.die/1356060726