activity
20192023
most citedPeriodic Dirac operator on the half-line

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math-ph2023

Resonances and inverse problems for energy-dependent potentials on the half-line

Evgeny Korotyaev, Andrea Mantile, Dmitrii Mokeev

We consider Schrödinger equations with linearly energy-depending potentials which are compactly supported on the half-line. We first provide estimates of the number of eigenvalues…

math-ph2020

Stability of Dirac resonances

Dmitrii Mokeev

We prove that the class of resonances of Dirac operators on the half-line with compactly supported potentials is closed with respect to perturbations. We also prove that t…

math-ph2020

Inverse resonance scattering for massless Dirac operators on the real line

Evgeny Korotyaev, Dmitrii Mokeev

We consider massless Dirac operators on the real line with compactly supported potentials. We solve two inverse problems (including characterization): in terms of zeros of reflecti…

math-ph2020

Inverse resonance scattering for Dirac operators on the half-line

Evgeny Korotyaev, Dmitrii Mokeev

We consider massless Dirac operators on the half-line with compactly supported potentials. We solve the inverse problems in terms of Jost function and scattering matrix (including…

math-ph2019

Periodic Dirac operator with dislocation

Evgeny Korotyaev, Dmitrii Mokeev

We consider a Dirac operator with a dislocation potential on the real line. The dislocation potential is a fixed periodic potential on the negative half-line and the same potential…

math.SP2019★ 1 cited

Periodic Dirac operator on the half-line

Evgeny Korotyaev, Dmitrii Mokeev

We consider the Dirac operator with a periodic potential on the half-line with the Dirichlet boundary condition at zero. Its spectrum consists of an absolutely continuous part plus…