Regularity, determining modes and Galerkin methods.
type: Item
instance of: scholarly article
title: Regularity, determining modes and Galerkin methods.
zbMATH Open document ID: 1043.35048
DOI: 10.1016/S0021-7824(03)00045-X
author: Jack K. Hale
author: Geneviève Raugel
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2003-12-03T00:00:00Z
Mathematics Subject Classification ID: 35D10
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 37L25
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 2012733
zbMATH Keywords: finite number of determining modes
zbMATH Keywords: regularity in time
zbMATH Keywords: abstract evolutionary equations
zbMATH Keywords: regularity in space
zbMATH Keywords: linearly damped wave equation
zbMATH Keywords: weakly damped Schrödinger equation
MaRDI profile type: Publication
cites work: Asymptotic behaviour for a weakly damped Schrödinger equation in dimension two
cites work: A damped hyerbolic equation with critical exponent
cites work: Q4313959
cites work: Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
cites work: Q4002877
cites work: Invariant foliations for \(C^1\) semigroups in Banach spaces
cites work: Q3948194
cites work: Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems
cites work: Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems
cites work: Some new generalizations of inertial manifolds
cites work: Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
cites work: Editorial board
cites work: Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
cites work: Gevrey class regularity for the solutions of the Navier-Stokes equations
cites work: Finite dimensional behavior for weakly damped driven Schrödinger equations
cites work: Q3818704
cites work: Attractors for damped nonlinear hyperbolic equations
cites work: Regularity of the attractor for a weakly damped nonlinear schrödinger equation
cites work: Asymptotic smoothing effect for a weakly damped nonlinear Schrödinger equation in \(\mathbb{T}^2\)
cites work: Q5182008
cites work: Q3799008
cites work: Q4039920
cites work: Symbolic dynamics and nonlinear semiflows
cites work: Q4948866
cites work: Q4288478
cites work: Smoothness of bounded solutions of nonlinear evolution equations
cites work: Introduction to functional differential equations
cites work: Q3701859
cites work: Q4729705
cites work: Geometric theory of semilinear parabolic equations
cites work: Q3244654
cites work: Q4285029
cites work: Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
cites work: Periodic solutions of analytic functional differential equations are analytic
cites work: Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrodinger equation
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Time analyticity and gevrey regularity for solutions of a class of dissipative partial differential equations
cites work: Q4550349
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
cites work: Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
full work available at URL: s0021-7824(03)00045-x
OpenAlex ID: W2092660493
description: scientific article; zbMATH DE number 2012733