Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition

In the paper we study boundary-value and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the rest boundary there is a Steklov condition. We study the behaviour of th...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2020-10, Vol.376, p.112802, Article 112802
Main Authors: Chechkina, Aleksandra G., D’Apice, Ciro, De Maio, Umberto
Format: Article
Language:English
Subjects:
Homogenization
Rapidly changing boundary conditions
Steklov-type problem
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Summary:In the paper we study boundary-value and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the rest boundary there is a Steklov condition. We study the behaviour of the initial problem when a small parameter defining the size of the Dirichlet parts of the boundary tends to zero.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2020.112802