Recovery of multiple parameters in subdiffusion from one lateral boundary measurement
From MaRDI portal
Publication:6070740
DOI10.1088/1361-6420/acef50arXiv2307.03263MaRDI QIDQ6070740
Bangti Jin, Yikan Liu, Zhi Zhou, Siyu Cen
Publication date: 24 November 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.03263
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- On some properties of the Mittag-Leffler function \(E_\alpha(-t^\alpha)\), completely monotone for \(t>0\) with \(0<\alpha<1\)
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Recovering an unknown source in a fractional diffusion problem
- On the uniqueness in the inverse conductivity problem
- Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients.
- Electrical impedance tomography using level set representation and total variational regularization
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- Simultaneous uniqueness for an inverse problem in a time-fractional diffusion equation
- A rational approximation scheme for computing Mittag-Leffler function with discrete elliptic operator as input
- The uniqueness of inverse problems for a fractional equation with a single measurement
- Inverse problems for heat equation and space-time fractional diffusion equation with one measurement
- Uniqueness for identifying a space-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation from a single boundary point measurement
- Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation
- Determining Coefficients in a Class of Heat Equations via Boundary Measurements
- Level-set function approach to an inverse interface problem
- A level set method for inverse problems
- Uniqueness in inverse boundary value problems for fractional diffusion equations
- Rational Solutions for the Time-Fractional Diffusion Equation
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Fractional Differential Equations
- A Limited Memory Algorithm for Bound Constrained Optimization
- Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source *
- Fractional Differential Equations
- A noniterative reconstruction method for solving a time-fractional inverse source problem from partial boundary measurements
- Simultaneous determination of different class of parameters for a diffusion equation from a single measurement
- Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium
- Time-Fractional Differential Equations
- A tutorial on inverse problems for anomalous diffusion processes
- The AAA Algorithm for Rational Approximation
- Inverse problems for partial differential equations
- Level set methods: An overview and some recent results
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions
- Identification of the zeroth‐order coefficient and fractional order in a time‐fractional reaction‐diffusion‐wave equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item