Parameter Reconstruction for General Transport Equation
From MaRDI portal
Publication:5119983
DOI10.1137/19M1265739zbMath1447.35383arXiv1904.10049OpenAlexW3035122231MaRDI QIDQ5119983
Publication date: 9 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.10049
Carleman estimatestability estimatereconstruction from boundary measurementsreconstruction of the source and the absorbtion coefficient
Inverse problems for PDEs (35R30) Numerical solution of inverse problems involving ordinary differential equations (65L09) Transport equations (35Q49)
Related Items (6)
Inverse radiative transfer with goal-oriented hp-adaptive mesh refinement: adaptive-mesh inversion ⋮ Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation ⋮ Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation ⋮ Inverse source problems in transport equations with external forces ⋮ Inverse problems for first-order hyperbolic equations with time-dependent coefficients ⋮ Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inverse radiative transfer in refractive media equipped with a magnetic field
- Gauge equivalence in stationary radiative transport through media with varying index of refraction
- An inverse boundary value problem for the stationary transport equation
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation
- Generalized stability estimates in inverse transport theory
- An inverse problem for the transport equation in the presence of a Riemannian metric
- Stability estimates in stationary inverse transport
- An inverse source problem in optical molecular imaging
- Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
- Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate
- The boundary rigidity problem in the presence of a magnetic field
- Optical tomography in two dimensions
- Stability of the Gauge equivalent classes in inverse stationary transport in refractive media
- Stability for Time-Dependent Inverse Transport
- Inverse transport theory and applications
- Uniqueness and non-uniqueness in inverse radiative transfer
- Optical tomography in medical imaging
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Stability of stationary inverse transport equation in diffusion scaling
- Reconstruction of the coefficients of the stationary transport equation from boundary measurements
- Inverse scattering and inverse boundary value problems for the linear boltzmann equation
- Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit
- Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling
- A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
- Regularity of Boltzmann Equation with External Fields in Convex Domains of Diffuse Reflection
- Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed
- Stability of the gauge equivalent classes in inverse stationary transport
- Global Lipschitz stability in determining coefficients of the radiative transport equation
- Inverse problem for a free transport equation using Carleman estimates
- Inverse Source Problems in Transport Equations
- Lipschitz stability of a non-standard problem for the non-stationary transport equation via a Carleman estimate
- Stability for Some Inverse Problems for Transport Equations
This page was built for publication: Parameter Reconstruction for General Transport Equation
