Publication: Localized spatial homogenization and large diffusion
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1998-11
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Society for Industrial and Applied Mathematics
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We analyze singular perturbations in elliptic equations, subjected to various boundary conditions, in which the diffusion is going to infinity in localized regions inside the domain and therefore solutions undergo a localized spatial homogenization. The limiting elliptic operator is analyzed as well as convergence of solutions, eigenvalues, and eigenvectors.
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