Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces
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Publication:3462580
DOI10.1088/0266-5611/31/12/125009zbMath1339.58016arXiv1409.6229OpenAlexW2963607754MaRDI QIDQ3462580
Thierry Daudé, François Nicoleau, Niky Kamran
Publication date: 15 January 2016
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.6229
separation of variablesasymptotically hyperbolic manifoldsinverse scatteringWeyl-Titchmarsh functionsstationary wave equationtransmission operatorLiouville surfacesreflexion operator
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Inverse problems for PDEs (35R30) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
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Cites Work
- Unnamed Item
- Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds
- Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces
- Inverse scattering at fixed energy on surfaces with Euclidean ends
- Calderón inverse problem with partial data on Riemann surfaces
- Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds
- Spectral deformations of one-dimensional Schrödinger operators
- On local Borg-Marchenko uniqueness results
- Inverse scattering on asymptotically hyperbolic manifolds.
- Separable systems of Stäckel
- An inverse scattering problem with part of the fixed-energy phase shifts
- Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds
- Inverse problems for Einstein manifolds
- Inverse scattering on conformally compact manifolds
- Absence of eigenvalue at the bottom of the continuous spectrum on asymptotically hyperbolic manifolds
- Inverse scattering at fixed energy in de Sitter-Reissner-Nordström black holes
- Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra
- Weyl-Titchmarsh Theory for Schrodinger Operators with Strongly Singular Potentials
- Inverse eigenvalue problems for perturbed spherical Schrödinger operators
- Introduction to complex orbital momenta
- Determining anisotropic real-analytic conductivities by boundary measurements
- Electrical impedance tomography and Calderón's problem
- Killing Tensors and Nonorthogonal Variable Separation for Hamilton–Jacobi Equations
- On determining a Riemannian manifold from the Dirichlet-to-Neumann map
- Inverse problems for differential operators with singular boundary conditions
- Spectral theory of infinite-area hyperbolic surfaces
- A proof of the local Borg-Marchenko theorem
