Serguei Naboko

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Maximal dissipative operators on metric graphs: Real eigenvalues and their multiplicities2025
• Functional model for generalised resolvents and its application to time-dispersive media2024
• Complete nonselfadjointness for Schrödinger operators on the semi-axis2024
• The spectral form of the functional model for maximally dissipative operators: A Lagrange identity approach2024
• Estimates of Green matrix entries of selfadjoint unbounded block Jacobi matrices2024
• Rayleigh estimates for differential operators on graphs2014 · аннотациясвернуть

  We study the spectral gap, i.e. the distance between the two lowest eigenvalues for Laplace operators on metric graphs. A universal lower estimate for the spectral gap is proven and it is shown that it is attained if…

• Spectral gap for quantum graphs and their edge connectivity2013 · аннотациясвернуть

  The spectral gap for Laplace operators on metric graphs and the relation between the graph's edge connectivity is investigated, in particular what happens to the gap if an edge is added to (or deleted from) a graph. It…

• Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices2007 · аннотациясвернуть

  Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses, we consider the Weyl M-function of extensions of the operators. The extensions are determined by abstract boundary…