The two terms asymptotics of the solutions of spectral problems with singular perturbations

S. A. Nazarov

Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 307-340

Résumé

Two groups of singularly perturbed boundary value problems for eigenvalues are considered. The first group contains the following types of perturbations: a small parameter in front of the leading derivatives in the equation or in the boundary condition, a domain with rapidly oscillating boundary, or a thin domain. Problems with perturbations of the data on a set with small diameter $\varepsilon$ constitute the second group.

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