Approximate formulas for eigenvalues of the Laplace operator on a torus arising in linear problems with oscillating coefficients

作者:Bruening J*; Grushin V V; Dobrokhotov S Yu
来源:Russian Journal of Mathematical Physics, 2012, 19(3): 261-272.
DOI:10.1134/S1061920812030016

摘要

In the paper, using relatively simple formulas derived in the abstract perturbation theory of selfadjoint operators, we obtain explicit asymptotic formulas for a family of elliptic operators of Laplace type that arise in linear problems with rapidly oscillating coefficients.

  • 出版日期2012-7