S. Simonov

most citedAn example of spectral phase transition phenomenon in a class of Jacobi matrices with periodically modulated weights

15 citations · 15 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2025

Smoothness of solutions to the initial-boundary value problem for the telegraph equation on the half-line with a locally summable potential

Sergey Simonov

We study solutions to the system $u_{tt} - u_{xx} + q (x) u = 0, x > 0, t > 0$ ; $u ∣_{t = 0} = u_{t} ∣_{t = 0} = 0, x > 0$ ; $u ∣_{x = 0} = g (t), t > 0$ , with a locally summable Hermitian matrix-valued potential $q$ …

math.SP2010★ 15 cited

An example of spectral phase transition phenomenon in a class of Jacobi matrices with periodically modulated weights

Sergey Simonov

We consider self-adjoint unbounded Jacobi matrices with diagonal q_n=n and weights λ_n=c_n n, where c_n is a 2-periodical sequence of real numbers. The parameter space is decompose…