Boundary switch on/off control approach to simultaneous identification of diffusion coefficient and initial state for one-dimensional heat equation
DOI10.3934/DCDSB.2020021zbMath1445.35338OpenAlexW3005846423MaRDI QIDQ2183693
Zhi-Xue Zhao, Bao-Zhu Guo, Mapundi Kondwani Banda
Publication date: 27 May 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020021
System identification (93B30) 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recovering the initial state of an infinite-dimensional system using observers
- Norms and exclusion theorems
- Uniqueness and nonuniqueness in an inverse problem for the parabolic equation
- A uniqueness theorem in an identification problem for coefficients of parabolic equations
- State reconstruction of a distributed parameter system with exact observability
- Uniqueness and stability in determining the heat radiative coefficient, the initial temperature and a boundary coefficient in a parabolic equation
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- Unique Identification of Eigenvalues and Coefficients in a Parabolic Problem
- Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
- Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation
- A numerical method for solving the inverse heat conduction problem without initial value
- Adaptive identification of two unstable PDEs with boundary sensing and actuation
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- Identifiability of Spatially-Varying and Constant Parameters in Distributed Systems of Parabolic Type
- On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
- Adaptive distributed parameter systems identification with enforceable identifiability conditions and reduced-order spatial differentiation
- Recovering the source and initial value simultaneously in a parabolic equation
- Discrete Inverse Problems
- Identifiability of Piecewise Constant Conductivity in a Heat Conduction Process
- Perturbation theory for pseudo-inverses
- Inverse problems for partial differential equations
This page was built for publication: Boundary switch on/off control approach to simultaneous identification of diffusion coefficient and initial state for one-dimensional heat equation