The fixed angle scattering problem and wave equation inverse problems with two measurements
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Publication:5220302
DOI10.1088/1361-6420/AB23A2zbMath1439.35569arXiv1901.05402OpenAlexW3101604650WikidataQ109745364 ScholiaQ109745364MaRDI QIDQ5220302
No author found.
Publication date: 16 March 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.05402
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items (7)
Fixed angle inverse scattering in the presence of a Riemannian metric ⋮ Fixed Angle Inverse Scattering for Sound Speeds Close to Constant ⋮ A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave ⋮ Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations ⋮ The fixed angle scattering problem with a first-order perturbation ⋮ Stability for a Formally Determined Inverse Problem for a Hyperbolic PDE with Space and Time Dependent Coefficients ⋮ The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations
Cites Work
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- Reconstruction of the singularities of a potential from backscattering data in 2D and 3D
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Recovering singularities of a potential from singularities of scattering data
- Inverse backscattering
- Investigation methods for inverse problems
- Carleman estimates and unique continuation for solutions to boundary value problems
- A time-dependent approach to the inverse backscattering problem
- RECOVERING SINGULARITIES FROM BACKSCATTERING IN TWO DIMENSIONS
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- RECOVERY OF THE SINGULARITIES OF A POTENTIAL FROM FIXED ANGLE SCATTERING DATA
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Recovery of a source term or a speed with one measurement and applications
- Uniqueness of the solution to inverse scattering problem with scattering data at a fixed direction of the incident wave
- Scattering by a Potential Using Hyperbolic Methods
- Integral Geometry and Radon Transforms
- A uniqueness result for the inverse back-scattering problem
- Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem
- On the Relation between Coefficient and Boundary Values for Solutions of Webster’s Horn Equation
- Generic Uniqueness for Two Inverse Problems in POtential Scattering
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Well-posedness of the Goursat problem and stability for point source inverse backscattering
- Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients
- Uniqueness for the inverse backscattering problem for angularly controlled potentials
- Generalized backscattering and the Lax-Phillips transform
- Some inverse problems with a ‘partial’ point source
- Uniqueness for a hyperbolic inverse problem with angular control on the coefficients
- Inverse problems for partial differential equations
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