Inverse problem for a one-dimensional dynamical Dirac system (BC-method)

DOI10.1088/0266-5611/30/12/125013zbMath1306.81317OpenAlexW2005247503MaRDI QIDQ2941008

V. S. Mikhaĭlov, Mikhail I. Belishev

Publication date: 21 January 2015

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/30/12/125013

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Convolution, factorization for one variable harmonic analysis (42A85) Inverse problems involving ordinary differential equations (34A55)

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A canonical model of the one-dimensional dynamical Dirac system with boundary control ⋮ Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree ⋮ Dynamical and spectral Dirac systems: response function and inverse problems ⋮ Data characterization in dynamical inverse problem for the 1D wave equation with matrix potential ⋮ Dynamic inverse problem for the one-dimensional system with memory ⋮ Continuous and discrete dynamical Schrödinger systems: explicit solutions ⋮ Evolution of Weyl Functions and Initial-Boundary Value Problems ⋮ Dynamical canonical systems and their explicit solutions ⋮ On the class of canonical systems corresponding to matrix string equations: general-type and explicit fundamental solutions and Weyl-Titchmarsh theory

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