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On the convergence of a nonlinear boundary-value problem in a perforated domain - MaRDI portal

On the convergence of a nonlinear boundary-value problem in a perforated domain (Q274760)

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scientific article; zbMATH DE number 6572972
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On the convergence of a nonlinear boundary-value problem in a perforated domain
scientific article; zbMATH DE number 6572972

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    On the convergence of a nonlinear boundary-value problem in a perforated domain (English)
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    25 April 2016
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    Summary: We consider a family with respect to a small parameter of nonlinear boundary-value problems as well as the corresponding spectral problems in a domain perforated periodically along a part of the boundary. We prove the convergence of solution of the original problems to the solution of the respective homogenized problem in this domain.
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    perforated domain
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    nonlinear boundary-value problems
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    spectral problems
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    convergence of solution
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