Structure of the spectrum of a periodic family of identical cells connected by converging apertures

DOI10.1007/S10958-013-1508-1zbMath1304.35458OpenAlexW1982530652MaRDI QIDQ744502

Sergueï A. Nazarov, Jari Taskinen

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1508-1

zbMATH Keywords

Dirichlet problemeigenvaluesapertures\(d\)-dimensional waveguide

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Cites Work

• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Elliptic problems in domains with piecewise smooth boundaries
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps
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