2 papers
math.AP2014
Concentration of eigenfunctions of a locally periodic elliptic operator with large potential in a perforated cylinder
Iryna Pankratova, Klas Pettersson
We consider the homogenization of an elliptic spectral problem with a large potential stated in a thin cylinder with a locally periodic perforation. The size of the perforation gra…
math.AP2012
Localization effect for a spectral problem in a perforated domain with Fourier boundary cconditions
Valeria Chiado Piat, Iryna Pankratova, Andrey Piatnitski
We consider a homogenization of elliptic spectral problem stated in a perforated domain, Fourier boundary conditions being imposed on the boundary of perforation. The presence of a…