Numerical reconstruction of the first band(s) in an inverse Hill’s problem
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Publication:5126402
DOI10.1051/cocv/2019031zbMath1455.34021arXiv1709.07023OpenAlexW2963914662MaRDI QIDQ5126402
Athmane Bakhta, David Gontier, Virginie Ehrlacher
Publication date: 16 October 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.07023
Sturm-Liouville theory (34B24) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)
Cites Work
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- Inverse spectral problem for the Schrödinger equation with periodic vector potential
- Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra.
- Multidimensional periodic Schrödinger operator. Perturbation theory and applications
- Schrödinger operators with singular potentials
- An overview of periodic elliptic operators
- Method for Solving the Korteweg-deVries Equation
- On isospectral periodic potentials in Rn
- On isospectral periodic potentials in Rn. II
- Inverse spectral problems for Sturm Liouville operators with singular potentials
- Half-inverse spectral problems for Sturm–Liouville operators with singular potentials
- INVERSE SPECTRAL PROBLEMS FOR STURM–LIOUVILLE OPERATORS WITH SINGULAR POTENTIALS. IV. POTENTIALS IN THE SOBOLEV SPACE SCALE
- On spectral theory for Schrödinger operators with strongly singular potentials
- On harnack type inequalities and their application to quasilinear elliptic equations
- Numerical optimization. Theoretical and practical aspects. Transl. from the French
- One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation