Approximate inertial manifolds for retarded semilinear parabolic equations.

DOI10.1016/S0022-247X(03)00199-9zbMath1039.35133OpenAlexW1988977325MaRDI QIDQ1399861

Alexander V. Rezounenko

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00199-9

zbMATH Keywords

approximate inertial manifoldsretarded parabolic equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (6)

Partial differential equations with discrete and distributed state-dependent delays ⋮ A condition on delay for differential equations with discrete state-dependent delay ⋮ Investigations of retarded PDEs of second order in time using the method of inertial manifolds with delay. ⋮ Asymptotic behavior for retarded parabolic equations with superlinear perturbations ⋮ Differential equations with discrete state-dependent delay: Uniqueness and well-posedness in the space of continuous functions ⋮ Trajectory and global attractors for evolution equations with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant manifolds for flows in Banach spaces
• Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
• On approximate inertial manifolds to the Navier-Stokes equations
• Approximate inertial manifolds for reaction-diffusion equations in high space dimension
• Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
• Inertial manifolds for nonlinear evolutionary equations
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Some new generalizations of inertial manifolds
• Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
• A sufficient condition for the existence of approximate inertial manifolds containing the global attractor.
• Theory and applications of partial functional differential equations
• Inertial manifolds for retarded second order in time evolution equations
• Steady approximate inertial manifolds of exponential order for semilinear parabolic equations.
• Inertial manifolds with delay for retarded semilinear parabolic equations
• Convergent families of approximate inertial manifolds
• Approximate inertial manifolds of exponential order for semilinear parabolic equations subjected to additive white noise
• Some global dynamical properties of a class of pattern formation equations
• Existence and Stability for Partial Functional Differential Equations
• Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems
• Inertial manifolds for retarded semilinear parabolic equations
• Delay-partial differential equations with some large diffusion
• Long—time behaviour of strong solutions of retarded nonlinear P.D.E.s

This page was built for publication: Approximate inertial manifolds for retarded semilinear parabolic equations.