On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets
Mathematical Physics
2015-06-26 v2 Analysis of PDEs
math.MP
Abstract
We consider singular perturbed eigenvalue problem for Laplace operator in a cylinder with frequent and nonperiodic alternation of boundary conditions imposed on narrow strips lying in the lateral surface. The width of strips depends on a small parameter in a arbitrary way and may oscillate fast, moreover, the nature of oscillation is arbitrary, too. We obtain two-sided estimates for degree of convergences of the perturbed eigenvalues.
Keywords
Cite
@article{arxiv.math-ph/0306052,
title = {On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets},
author = {Denis I. Borisov},
journal= {arXiv preprint arXiv:math-ph/0306052},
year = {2015}
}
Comments
This preprint is a short version; the bigger version with more results will appear in "Computational Mathematics and Mathematical Physics"