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- Title
ON THE STEKLOV PROBLEM IN A DOMAIN PERFORATED ALONG A PART OF THE BOUNDARY.
- Authors
Chechkin, Gregory A.; Gadyl’shin, Rustem R.; D’Apice, Ciro; De Maio, Umberto
- Abstract
We study the asymptotic behavior of solutions and eigenelements to a 2-dimensional and 3-dimensional boundary value problem for the Laplace equation in a domain perforated along part of the boundary. On the boundary of holes we set the homogeneous Dirichlet boundary condition and the Steklov spectral condition on the mentioned part of the outer boundary of the domain. Assuming that the boundary microstructure is periodic, we construct the limit problem and prove the homogenization theorem.
- Publication
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2017, Vol 51, Issue 4, p1317
- ISSN
2822-7840
- Publication type
Article
- DOI
10.1051/m2an/2016063