The exponential dichotomy under discretization on general approximation scheme

DOI10.1155/2011/582740zbMath1236.65061OpenAlexW2133274234WikidataQ58654946 ScholiaQ58654946MaRDI QIDQ666388

Javier Pastor, Serguei Piskarev

Publication date: 8 March 2012

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/582740

zbMATH Keywords

finite elementinitial value problemexponential dichotomyfinite differenceabstract parabolic problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to abstract evolution equations (65J08)

Related Items (1)

Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations

Cites Work

• Approximation of abstract differential equations
• Differential equations in Banach spaces. II: Theory of cosine operator functions
• Shadowing for discrete approximations of abstract parabolic equations
• On differential and difference Fredholm operators
• Finite-difference operators in the study of differential operators: solution estimates
• Geometric theory of semilinear parabolic equations
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Diskrete Approximation von Eigenwertproblemen. II: Konvergenzordnung
• An integrability condition on the resolvent for hyperbolicity of the semigroup
• A General Approximation Scheme for Attractors of Abstract Parabolic Problems
• A new proof and generalizations of Gearhart’s theorem
• Exponential Dichotomies and Fredholm Operators
• Approximative methods for nonlinear equations (two approaches to the convergence problem)
• The Behavior of Finite Element Solutions of Semilinear Parabolic Problems Near Stationary Points
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