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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…
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…
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…
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…