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Homogenization and correctors for the wave equation with periodic coefficients

Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universtity of Seville, C. Tarfía s/n, Seville, 41012, Spain

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Julio Couce-Calvo

Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universtity of Seville, C. Tarfía s/n, Seville, 41012, Spain

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Faustino Maestre

Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universtity of Seville, C. Tarfía s/n, Seville, 41012, Spain

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, and

José D. Martín Gómez

Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universtity of Seville, C. Tarfía s/n, Seville, 41012, Spain

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https://doi.org/10.1142/S0218202514500031Cited by:9 (Source: Crossref)

Abstract

Using the two-scale convergence method, we study the asymptotic behavior of a wave problem in ℝ^N with periodic coefficients in the space variable and almost-periodic coefficients in the time one. We obtain a nonlocal corrector and show how this implies that the limit problem is nonlocal in general.

Keywords:

AMSC: 35B27, 35L20

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