Recovering a time dependent coefficient in a parabolic differential equation
From MaRDI portal
Publication:1192554
DOI10.1016/0022-247X(91)90327-VzbMath0789.35162WikidataQ115364501 ScholiaQ115364501MaRDI QIDQ1192554
John R. Cannon, William Rundell
Publication date: 27 September 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)
Related Items (18)
On inverse problems for pseudoparabolic and parabolic equations of filtration ⋮ Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting method ⋮ Direct numerical method for an inverse problem of a parabolic partial differential equation ⋮ Numerical identification of the leading coefficient of a parabolic equation ⋮ Unnamed Item ⋮ Time- or space-dependent coefficient recovery in parabolic partial differential equation for sensor array in the biological computing ⋮ Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique ⋮ Nonlocal inverse problem for a parabolic equation with degeneration ⋮ Identification of the time-dependent conductivity of an inhomogeneous diffusive material ⋮ Numerical solution of an inverse reaction-diffusion problem via collocation method based on radial basis functions ⋮ The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement ⋮ Determination of a time-dependent diffusivity from nonlocal conditions ⋮ A direct numerical method for approximate solution of inverse reaction diffusion equation via two-dimensional Legendre hybrid functions ⋮ An inverse diffusion problem with nonlocal boundary conditions ⋮ A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement ⋮ Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions ⋮ Multidimensional inverse Cauchy problems for evolution equations ⋮ Identification of the unknown parameters in the parabolic equation in a free boundary domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Determination of the conductivity of an isotropic medium
- Determination of an unknown coefficient in a parabolic differential equation
- An Inverse Problem for a Nonlinear Elliptic Differential Equation
- Fixed point methods for a nonlinear parabolic inverse coefficient problem
- An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Various methods for finding unknown coefficients in parabolic differential equations
This page was built for publication: Recovering a time dependent coefficient in a parabolic differential equation
