Sigma-convergence of semilinear stochastic wave equations

• Verfasst von: Deugoue, Gabriel [VerfasserIn]
• Verfasst von: Woukeng, Jean Louis [VerfasserIn]
• Titel: Sigma-convergence of semilinear stochastic wave equations
• Verf.angabe: Gabriel Deugoue, Jean Louis Woukeng
• E-Jahr: 2018
• Jahr: December 16, 2017
• Jahr des Originals: 2017
• Umfang: 29 S.
• Fussnoten: Gesehen am 24.02.2020
• Titel Quelle: Enthalten in: Nonlinear differential equations and applications
• Ort Quelle: [Cham (ZG)] : [Springer International Publishing AG], 1994
• Jahr Quelle: 2018
• Band/Heft Quelle: 25(2018,1) Artikel-Nummer 3, 29 Seiten
• ISSN Quelle: 1420-9004
• DOI: doi:10.1007/s00030-017-0494-2
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1690883103

Abstract

We address the homogenization of a semilinear hyperbolic stochastic partial differential equation with highly oscillating coefficients, in the context of ergodic algebras with mean value. To achieve our goal, we use a suitable variant of the sigma-convergence concept that takes into account both the random and deterministic behaviours of the phenomenon modelled by the underlying problem. We also provide an appropriate scheme for the approximation of the effective coefficients. To illustrate our approach, we work out some concrete problems such as the periodic homogenization problem, the almost periodic and the asymptotically almost periodic ones.