Dynamical and spectral Dirac systems: response function and inverse problems
From MaRDI portal
Publication:3457164
DOI10.1063/1.4936073zbMath1347.35078arXiv1507.00032OpenAlexW744259454MaRDI QIDQ3457164
Publication date: 10 December 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.00032
Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Initial-boundary value problems for linear first-order PDEs (35F16)
Related Items (5)
Continuous and discrete dynamical Schrödinger systems: explicit solutions ⋮ Evolution of Weyl Functions and Initial-Boundary Value Problems ⋮ Sine-Gordon theory in a semi-strip ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weyl functions of generalized Dirac systems: integral representation, the inverse problem and discrete interpolation
- Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions
- Positive dynamical systems in discrete time. Theory, models and applications
- Krein systems and canonical systems on a finite interval: Accelerants with a jump discontinuity at the origin and continuous potentials
- Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation
- Inverse spectral problems for Dirac operators on a finite interval
- On explicit inversion of a subclass of operators with \(D\)-difference kernels and Weyl theory of the corresponding canonical systems
- Inverse problem for Dirac systems with locally square-summable potentials and rectangular Weyl functions
- The boundary control approach to the Titchmarsh-Weyl \(m\)-function. I: The response operator and the \(A\)-amplitude
- Inverse problems and index formulae for Dirac operators
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Applications of a commutation formula
- A complete spectral characterization of the double commutation method
- A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure
- Abstract wave equations and associated Dirac-type operators
- Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials
- Inverse spectral problems for Schrödinger-type operators with distributional matrix-valued potentials.
- Exact solutions of nonlinear equations and the method of operator identities
- Reconstruction of radial Dirac and Schrödinger operators from two spectra
- Schrödinger operators in the twentieth century
- On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions
- Boundary Control Method in Dynamical Inverse Problems — An Introductory Course
- Inverse problem for a one-dimensional dynamical Dirac system (BC-method)
- Recovery of the Dirac system from the rectangular Weyl matrix function
- Commutation methods for Schrödinger operators with strongly singular potentials
- Commutation Methods Applied to the mKdV-Equation
- WAVE BASES IN MULTIDIMENSIONAL INVERSE PROBLEMS
- On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory
- Algebraic construction of the Darboux matrix revisited
- Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics
- BOUNDARY CONTROL AND A MATRIX INVERSE PROBLEM FOR THE EQUATION $ u_{tt}-u_{xx}+V(x)u=0$
- Deforming the point spectra of one-dimensional Dirac operators
- Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications
- Dressing procedure for solutions of non-linear equations and the method of operator identities
- Dirac type and canonical systems: spectral and Weyl–Titchmarsh matrix functions, direct and inverse problems
- Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators
- An algebraic method to construct the Darboux matrix
- On the double commutation method
- Solving an inverse obstacle problem for the wave equation by using the boundary control method
- Complex and Adaptive Dynamical Systems
- Analyticity and uniform stability in the inverse spectral problem for Dirac operators
- Weyl theory and explicit solutions of direct and inverse problems for Dirac system with a rectangular matrix potential
- Reconstructing the potential for the one-dimensional Schrodinger equation from boundary measurements
- A new class of solvable dynamical systems
- Generalized Fourier transform for the Camassa–Holm hierarchy
- ASSOCIATED STURM-LIOUVILLE SYSTEMS
- Preface
- Control problems of discrete-time dynamical systems
This page was built for publication: Dynamical and spectral Dirac systems: response function and inverse problems
