Видеотека: A. E. Mironov, Self-adjoint commuting ordinary differential operators of rank two

ВИДЕОТЕКА


International Workshop «Geometric Structures in Integrable Systems» 31 октября 2012 г. 14:00, г. Москва, МГУ им. М.В. Ломоносова

Self-adjoint commuting ordinary differential operators of rank two A. E. Mironov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Аннотация: Self-adjoint commuting ordinary differential operators of rank two are considered. We find sufficient conditions when an operator of fourth order commuting with an operator of order $4g+2$ is self-adjoint. An equation on potentials $V(x),W(x)$ of the self-adjoint operator $L=(\partial _{x}^{2}+V)^{2}+W$ and some additional data is introduced. With the help of this equation examples are constructed. Язык доклада: английский