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math.AP2020
Localization of eigenfunctions in a thin domain with locally periodic oscillating boundary
Klas Pettersson
We study a Dirichlet spectral problem for a second-order elliptic operator with locally periodic coefficients in a thin domain. The boundary of the domain is assumed to be locally…
math.AP2019
Homogenization of a locally periodic oscillating boundary
Srinivasan Aiyappan, Klas Pettersson
This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The Neumann condition is…