Reiterated ergodic algebras and applications

DOI10.1007/s00220-010-1127-3zbMath1228.46049OpenAlexW2124135786MaRDI QIDQ608920

Jean Louis Woukeng, Gabriel Nguetseng, Mamadou Sango

Publication date: 29 November 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-010-1127-3

zbMATH Keywords

homogenizationseparabilitynonlinear hyperbolic equationshomogenization algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Second-order nonlinear hyperbolic equations (35L70) Almost and pseudo-almost periodic solutions to PDEs (35B15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

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• Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes
• Averaging of singularly perturbed elliptic operators
• Applications of almost periodic compactifications
• Reiterated homogenization of nonlinear monotone operators in a general deterministic setting.
• Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems
• Homogenization structures and applications. I
• Variational principle for non-Newtonian lubrication: Rabinowitsch fluid model
• Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions
• Periodic homogenization of nonlinear non-monotone parabolic operators with three time scales
• Weakly Almost Periodic Functions and Almost Convergent Functions on a Group
• The two-scale convergence method applied to generalized Besicovitch spaces
• A derivation theory for generalized Besicovitch spaces and its application for partial differential equations
• Weakly Almost Periodic Functions and Fourier-Stieltjes Algebras of Locally Compact Groups
• Multiscale convergence and reiterated homogenisation
• On nonseparable reflexive Banach spaces
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
• A Note on Fourier-Stieltjes Transforms