Uniqueness for time-dependent inverse problems with single dynamical data
From MaRDI portal
Publication:1996321
DOI10.1016/j.jmaa.2020.124910zbMath1459.35390arXiv2004.03510OpenAlexW3016097669MaRDI QIDQ1996321
Publication date: 4 March 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03510
Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A control approach to recover the wave speed (conformal factor) from one measurement
- Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map
- Boundary control, wave field continuation and inverse problems for the wave equation
- Uniqueness and stability in multidimensional hyperbolic inverse problems
- An inverse obstacle problem for the wave equation in a finite time domain
- Acoustic scattering from corners, edges and circular cones
- Simultaneous determination of the magnetic field and the electric potential in the Schrödinger equation by a finite number of boundary observations
- An inverse problem for the wave equation with one measurement and the pseudorandom source
- Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter
- Uniqueness and stability for the recovery of a time-dependent source in elastodynamics
- Photoacoustic and thermoacoustic tomography with an uncertain wave speed
- Conditionally stable unique continuation and applications to thermoacoustic tomography
- Recovery of the sound speed and initial displacement for the wave equation by means of a single Dirichlet boundary measurement
- Instability of the linearized problem in multiwave tomography of recovery both the source and the speed
- On determining an absorption coefficient and a speed of sound in the wave equation by the BC method
- An inverse transmission scattering problem and the enclosure method
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Recovery of a source term or a speed with one measurement and applications
- Stability of the determination of the surface impedance of an obstacle from the scattering amplitude
- Thermo- and Photoacoustic Tomography with Variable Speed and Planar Detectors
- Stable determination of coefficients in the dynamical anisotropic Schrödinger equation from the Dirichlet-to-Neumann map
- Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations
- An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials
- Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
- A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem
- A Lipschitz stable reconstruction formula for the inverse problem for the wave equation
- Determining both sound speed and internal source in thermo- and photo-acoustic tomography
- Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide
- Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
- Mathematics of thermoacoustic tomography
- Inverse problems for the Schrödinger equations with time-dependent electromagnetic potentials and the Aharonov–Bohm effect
- Stability Estimates for Coefficients of Magnetic Schrödinger Equation from Full and Partial Boundary Measurements
- Time reversal in thermoacoustic tomography—an error estimate
- Handbook of Mathematical Methods in Imaging
- Inverse obstacle problems
- Generic Uniqueness for Two Inverse Problems in POtential Scattering
- Reconstruction of a source domain from the Cauchy data
- New stability results for soft obstacles in inverse scattering
- On reconstruction in the inverse conductivity problem with one measurement
- Interface with weakly singular points always scatter
- Recovering initial values from light cone traces of solutions of the wave equation
- Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave
- On reconstruction of the speed of sound from a part of boundary
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Determination of a coefficient in an acoustic equation with a single measurement
- Inverse Source Problems in an Inhomogeneous Medium with a Single Far-Field Pattern
- Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations
- Corners and edges always scatter
- Determining both the source of a wave and its speed in a medium from boundary measurements
- Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field
- Stability estimate for an inverse problem for the Schrödinger equation in a magnetic field with time-dependent coefficient
- Transmission eigenvalues and thermoacoustic tomography
- An inverse problem for Schrödinger equations with discontinuous main coefficient
- On a global estimate in a linear inverse hyperbolic problem
- The Radon Transform and Medical Imaging
- Inverse problems for partial differential equations
This page was built for publication: Uniqueness for time-dependent inverse problems with single dynamical data
