On the Bethe-Sommerfeld conjecture for higher-order elliptic operators

DOI10.1007/s00208-003-0395-zzbMath1126.35345OpenAlexW2169806749WikidataQ122940668 ScholiaQ122940668MaRDI QIDQ1396484

Zhongwei Shen

Publication date: 2 July 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0395-z

zbMATH Keywords

constant coefficient elliptic pseudo-differential operatornumber of gaps in spectrum

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Higher-order elliptic equations (35J30)

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THE BETHE–SOMMERFELD CONJECTURE FOR THE 3-DIMENSIONAL PERIODIC LANDAU OPERATOR ⋮ An overview of periodic elliptic operators

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