On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain

Yulia Koroleva

International Journal of Differential Equations, 2015, vol. 2015, 1-11

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:392479

DOI: 10.1155/2015/392479

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