Homogenization of solutions of a Neumann problem for the Laplace operator in a domain with a perforated inner boundary
The paper addresses the Poisson equation in domains consisting of two parts. It is assumed that these parts are connected by ``holes'' on the inner boundary between the parts. A zero Dirichlet condition is prescribed on the external boundary, while the Neumann condition is prescribed on the inner boundary. The author establishes the estimates for the deviation of solutions to the initial problem from the solution of the averaged problem.
scientific article; zbMATH DE number 1851285