Approximate inertial manifolds for retarded semilinear parabolic equations.
From MaRDI portal
Publication:1399861
DOI10.1016/S0022-247X(03)00199-9zbMath1039.35133OpenAlexW1988977325MaRDI QIDQ1399861
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
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.