A New Estimate for the Homogenization Method for Second-Order Elliptic Problem with Rapidly Oscillating Periodic Coefficients
In this paper, we will investigate a multiscale homogenization theory for a second-order elliptic problem with rapidly oscillating periodic coefficients of the form ∂/∂xiaijx/ε,x∂uεx/∂xj=fx. Noticing the fact that the classic homogenization theory presented by Oleinik has a high demand for the smoot...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/8036814 |
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| Summary: | In this paper, we will investigate a multiscale homogenization theory for a second-order elliptic problem with rapidly oscillating periodic coefficients of the form ∂/∂xiaijx/ε,x∂uεx/∂xj=fx. Noticing the fact that the classic homogenization theory presented by Oleinik has a high demand for the smoothness of the homogenization solution u0, we present a new estimate for the homogenization method under the weaker smoothness that homogenization solution u0 satisfies than the classical homogenization theory needs. |
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| ISSN: | 2314-8896 2314-8888 |