On the structure of spectra of periodic elliptic operators

By Peter Kuchment, Sergei Levendorskii. 2001

49 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/91a7706d9da71094a884be64c9cd0363ff7fa21b

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In Applied Mathematics

1. Peter Kuchment

In Mathematical Physics

1. Peter Kuchment
2. Konstantin Pankrashkin
3. Nicolas Popoff

Citations in the corpus

• A Semilinear Schrödinger Equation in the Presence of a Magnetic Field (2003, unknown): “Therefore the condition 0 / ∈ σ( −� A + V) , σ( −� A + V) ∩ (−∞, 0) � is very natural; see [ KL , RS] for a detailed discussion of spectral gaps.”
• Graph models for waves in thin structures (2002, background): “Starting with [177], the problem of the absence of bound states in periodic media has been attracting intense interest from researchers, with major advancements occurring in recent years (see for instance [21, 89, 117, 122, 186] for surveys, references and recent advances).”