A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation
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Publication:522954
DOI10.1515/jiip-2015-0035zbMath1360.35321OpenAlexW2404190180MaRDI QIDQ522954
Gongsheng Li, Chunlong Sun, Xianzheng Jia
Publication date: 20 April 2017
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-2015-0035
inverse problemnumerical inversionLipschitz stabilityadjoint problemadvection-dispersion equationvariational identity
Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items (3)
Conditional well-posedness for an inverse source problem in the diffusion equation using the variational adjoint method ⋮ Reconstruction of the space-dependent source from partial Neumann data for slow diffusion system ⋮ Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Carleman type estimates in an anisotropic case and applications
- Inverse coefficient problems for nonlinear parabolic differential equations
- Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
- Conditional stability in determination of force terms of heat equations in a rectangle
- Existence results for inverse problems associated with a nonlinear parabolic equation
- Numerical solution of one-dimensional parabolic inverse problem
- Carleman estimates for coefficient inverse problems and numerical applications.
- Inverse problem for the nonlinear heat equation with the final overdetermination
- Data compatibility and conditional stability for an inverse source problem in the heat equation
- An adjoint method for proving identifiability of coefficients in parabolic equations
- A coupled method for inverse source problem of spatial fractional anomalous diffusion equations
- An inverse parabolic problem with non-zero initial condition
- Uniqueness and stability of 3D heat sources
- Inverse parabolic problems with the final overdetermination
- Stability analysis for determining a source term in a 1-D advection-dispersion equation
- A uniqueness theorem for a class of nonlinear parabolic inverse problems
- A non-linear mathematical model for an undisturbed soil-column experiment and source parameter identification
- Determining magnitude of groundwater pollution sources by data compatibility analysis
- Carleman estimates for parabolic equations and applications
- The Determination of a Parabolic Equation from Initial and Final Data
- Fixed point methods for a nonlinear parabolic inverse coefficient problem
- Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
- Inverse problems and Carleman estimates
- Structural identification of an unknown source term in a heat equation
- Some inverse problems for the diffusion equation
- Solution of an Inverse Problem for the Nonlinear Heat Equation
- An Inverse Problem for the Hydraulic Properties of Porous Media
- Determining the initial age distribution for an age structured population
- Inverse heat conduction based on boundary measurement
- An existence result for an inverse problem for a quasilinear parabolic equation
- An inverse parabolic problem for nonlinear source term with nonlinear boundary conditions
- Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
- Conditional stability in determining a heat source
- Global uniqueness for inverse parabolic problems with final observation
- Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
- Determination of the source term in the heat conduction equation
- Global Lipschitz stability in determining coefficients of the radiative transport equation
- An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation
- An inverse problem of identifying source coefficient in solute transportation
- Inverse problems for partial differential equations
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