- Acta Math.
- Volume 221, Number 1 (2018), 59-80.
On the structure of band edges of $2$-dimensional periodic elliptic operators
For a wide class of $2$-dimensional periodic elliptic operators, we show that the global extrema of all spectral band functions are isolated.
To the memory of Yuri Safarov, our dear friend and colleague
The first author was supported by RFBR Grant 16–01–00087 and by Simons Foundation. The second author was supported by AMS Simons Travel Grant 2014–2016 and by NSF grant DMS–1758326.
Acta Math., Volume 221, Number 1 (2018), 59-80.
Received: 26 March 2016
First available in Project Euclid: 19 June 2019
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Filonov, Nikolay; Kachkovskiy, Ilya. On the structure of band edges of $2$-dimensional periodic elliptic operators. Acta Math. 221 (2018), no. 1, 59--80. doi:10.4310/ACTA.2018.v221.n1.a2. https://projecteuclid.org/euclid.acta/1560966801