On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets

Details On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets

2003-06-21

arxiv.org/abs/math-ph/0306052v2

Computational Mathematics and Mathematical Physics. 2006. V. 46. No. 2. P. 271-281.

Physics

Mathematical Physics

This preprint is a short version; the bigger version with more results will appear in "Computational Mathematics and Mathemati

Scientific paper

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.

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