Source identification problems for hyperbolic differential and difference equations
From MaRDI portal
Publication:2316684
DOI10.1515/jiip-2018-0020zbMath1429.65117OpenAlexW2895824811MaRDI QIDQ2316684
Fathi Emharab, Allaberen Ashyralyev
Publication date: 6 August 2019
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2018-0020
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Abstract hyperbolic equations (35L90) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items
On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem, On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time, Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem, Identification problem for telegraph-parabolic equations, A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The difference problem of obtaining the parameter of a parabolic equation
- On the determination of the right-hand side in a parabolic equation
- High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition
- Identification of biological models described by systems of nonlinear differential equations
- Inverse Dirichlet problem for an equation of elliptic type
- A uniqueness theorem for solutions to an inverse problem for the wave equation
- Formulas for solutions and coefficients of second-order differential equations
- Finding a control parameter in one-dimensional parabolic equations
- New difference schemes for partial differential equations.
- Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
- Well-posedness of the right-hand side identification problem for a parabolic equation
- Approximation of the Bitsadze-Samarskii inverse problem for an elliptic equation with the Dirichlet conditions
- Numerical methods for solving inverse problems of mathematical physics.
- Linear inverse problems for parabolic and hyperbolic equations
- A note on the numerical solution of an identification problem for observing two-phase flow in capillaries
- On Source Identification Problem for Telegraph Differential Equations
- On the problem of determining the parameter of a parabolic equation
- Some inverse problems for the linearized boltzmann equation
- Generic well-posedness of a linear inverse parabolic problem with diffusion parameters
- Imaging the diffusion coefficient in a parabolic inverse problem in optical tomography
- Questions of posing and solvability of linear inverse problems for elliptic equations
- Nonlinear Inverse Problems with Integral Overdetermination for Nonstationary Differential Equations of High Order
- Analytical representations of solutions to multidimensional inverse problems for evolutionary equations
- On source identification problem for a delay parabolic equation
- On the problem of determining the parameter of an elliptic equation in a Banach space
- Determination of parameters in telegraph equation
- Representations for the solutions and coefficients of second-order differential equations
- The inverse problem of recovering the source in a parabolic equation under a condition of nonlocal observation
- Identification problems for parabolic delay differential equations with measurement on the boundary
- Inverse problems for partial differential equations
- Inverse problems for partial differential equations