Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction
From MaRDI portal
Publication:4638173
DOI10.1088/1361-6420/aaa4a0OpenAlexW2616699531MaRDI QIDQ4638173
Jie Yu, Yikan Liu, Masahiro Yamamoto
Publication date: 3 May 2018
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.06396
iteration methodhyperbolic equationCarleman estimatecoefficient inverse problemlocal Hölder stability
Related Items (5)
Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds ⋮ Determination of source or initial values for acoustic equations with a time-fractional attenuation ⋮ Inverse problems for first-order hyperbolic equations with time-dependent coefficients ⋮ An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound ⋮ Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse source problem for the hyperbolic equation with a time-dependent principal part
- Iteratively solving linear inverse problems under general convex constraints
- A timelike Cauchy problem and an inverse problem for general hyperbolic equations
- Uniqueness and stability in multidimensional hyperbolic inverse problems
- Reconstruction of space-dependent potential and/or damping coefficients in the wave equation
- Overlapping domain decomposition methods for linear inverse problems
- Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation
- A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints
- An Efficient Linear Solver for Nonlinear Parameter Identification Problems
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Growth rate modeling and identification in the crystallization of polymers
- New realization of the pseudoconvexity and its application to an inverse problem
- Inverse Source Problem for a Double Hyperbolic Equation Describing the Three-Dimensional Time Cone Model
- Determination of a coefficient in the wave equation with a single measurement
- Numerical estimation of the Robin coefficient in a stationary diffusion equation
- Inverse problems and Carleman estimates
- Uniqueness and stability in multi-dimensional inverse problems
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients
- Determination of a coefficient in an acoustic equation with a single measurement
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
- On the multiple hyperbolic systems modelling phase transformation kinetics
- Lipschitz stability of an inverse problem for an acoustic equation
- Inverse problems for partial differential equations
This page was built for publication: Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction