Sigma-convergence of semilinear stochastic wave equations
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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
December 16, 2017
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| In: |
Nonlinear differential equations and applications
Year: 2017, Volume: 25, Issue: 1 |
| ISSN: | 1420-9004 |
| DOI: | 10.1007/s00030-017-0494-2 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00030-017-0494-2
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| Author Notes: | Gabriel Deugoue, Jean Louis Woukeng |
| Summary: | 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. |
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| Item Description: | Gesehen am 24.02.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1420-9004 |
| DOI: | 10.1007/s00030-017-0494-2 |