3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2014★ 1 cited
Spectral asymptotics for a singularly perturbed fourth order locally periodic self-adjoint elliptic operator
Alexandra Chechkina, Irina Pankratova, Klas Pettersson
We consider the homogenization of a singularly perturbed self-adjoint fourth order elliptic equation with locally periodic coefficients, stated in a bounded domain. We impose Diric…
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★ 3 cited
An elementary proof of the Vigdergauz equations for a class of square symmetric structures
Dag Lukkassen, Annette Meidell, Klas Pettersson
For a periodically perforated structure, for which homogenization takes place in the linear theory of elasticity, the components of the effective elasticity tensor depend in genera…