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Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain

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Abstract

We consider the spectral problem for a non self-adjoint Dirichlet problem for a higher-order elliptic operator in a sequence of perforated domains. We establish the convergence of the singular numbers generated by the problem to the corresponding singular numbers generated by a limit problem of the same type but containing an additional term of capacity type.

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Research supported by the National Research Foundation of South Africa.

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Sango, M. Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain. Integr equ oper theory 43, 177–188 (2002). https://doi.org/10.1007/BF01200252

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