Conference - DimaScat : Scattering Theory and Spectral Asymptotics of Differential Operators - in Honour of Dimitri Yafaev

Wednesday, April 20, 2016 - 15:00 to 16:00
Nikolai Filonov
Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg
On the structure of the edges of spectral bands of the periodic Schrödinger operator
Abstract: 

We consider the multi-dimensional Schrödinger operator with a bounded periodic potential. We show that in the 2D case the corresponding band functions can attain their extrema only at a finite number of points.

This is a joint work with I. Kachkovskiy.

Partners

Irmar LMJL ENS Rennes LMBA LAREMA

Affiliation

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL