Inverse problems for fractional equations with a minimal number of measurements
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Publication:6617658
DOI10.3934/cac.2023005MaRDI QIDQ6617658
Publication date: 11 October 2024
Published in: Communications on Analysis and Computation (Search for Journal in Brave)
comparison principleinverse problemsfractional differential equationssemilinearminimal number of measurements
Cites Work
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
- On identifying magnetized anomalies using geomagnetic monitoring
- The fractional Calderón problem: low regularity and stability
- Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
- Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
- Inverse problems for fractional semilinear elliptic equations
- A non-local inverse problem with boundary response
- On local and global structures of transmission eigenfunctions and beyond
- Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
- Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
- The Calderón problem for the fractional Schrödinger equation with drift
- An inverse problem for a semi-linear elliptic equation in Riemannian geometries
- Determining a random Schrödinger operator: both potential and source are random
- Inverse problems for elliptic equations with power type nonlinearities
- Determining a fractional Helmholtz equation with unknown source and scattering potential
- On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model
- The Calderón problem for the fractional Schrödinger equation
- Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
- The Calderón problem with partial data on manifolds and applications
- The Calderón problem with partial data
- Inverse problems for elliptic equations with fractional power type nonlinearities
- Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
- Determining both sound speed and internal source in thermo- and photo-acoustic tomography
- The Calderón problem with partial data in two dimensions
- The Calderón problem for variable coefficients nonlocal elliptic operators
- Exponential instability in the fractional Calderón problem
- Global uniqueness for the fractional semilinear Schrödinger equation
- Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
- Simultaneous recoveries for semilinear parabolic systems
- Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems
- The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability
- On corners scattering stably and stable shape determination by a single far-field pattern
- A remark on partial data inverse problems for semilinear elliptic equations
- Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability
- Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials
- Determining a Random Schrödinger Equation with Unknown Source and Potential
- Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers
- Unique Continuation Property and Local Asymptotics of Solutions to Fractional Elliptic Equations
- Inverse problems for the fractional-Laplacian with lower order non-local perturbations
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