Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients

• Published in: Нелинейные граничные задачи
• Date: 1999
• Main Author: Teplinsky, A.Yu.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 1999
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169278
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients / A.Yu. Teplinsky // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 98-102. — Бібліогр.: 7 назв. — англ.

In the paper I solve the problem of a multiple spectrum without any artificial conditions imposed and obtain whole asymptotic expansions for eigenvalues and eigen-functions of the general smooth boundary-value problem for an elliptic operator with non-uniformly oscillating coe±cients (whose homogeni...