Justification de la méthode des echelles multiples pour une classe d'équations aux dérivées partielles

DOI10.1007/BF02413873zbMath0405.35007OpenAlexW2007806760MaRDI QIDQ1257147

K. Appert

Publication date: 1978

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02413873

zbMATH Keywords

Basis of EigenvectorsError-EstimationLinear Parabolic- Hyperbolic EquationsMultiscale MethodOperational Differential EquationPerturbation of EigenvaluesSlightly Viscoelastic Vibrations

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Initial value problems for linear higher-order PDEs (35G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Higher-order parabolic equations (35K25) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

On the two-scales method for a class of integro-differential equations appearing in viscoelasticity ⋮ Applications of bloch expansion to periodic elastic and viscoelastic media

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Méthode de centrage-estimation de l'erreur et comportement des trajectoires dans l'espace des phases
• Spectral theory of operators in Hilbert space
• Asymptotic solutions of partial differential equations with damping and delay
• Comparison of the Modified Method of Averaging and the Two Variable Expansion Procedure
• On Multivariable Asymptotic Expansions
• Asymptotic Solutions of Inhomogeneous Initial Boundary Value Problems for Weakly Nonlinear Partial Differential Equations
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