Stability analysis for determining a source term in a 1-D advection-dispersion equation

DOI10.1515/156939406777571067zbMath1111.35122OpenAlexW4246543548MaRDI QIDQ3431318

Gongsheng Li, Masahiro Yamamoto

Publication date: 10 April 2007

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939406777571067

zbMATH Keywords

conditional stabilityadvection-dispersion equationgroundwater pollutionsource determinationfinal observations

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15)

Related Items (14)

Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation ⋮ Identifying an unknown source in time-fractional diffusion equation by a truncation method ⋮ Regularization and stability estimates for an inverse source problem of the radially symmetric parabolic equation ⋮ Uniqueness and stability for inverse source problem for fractional diffusion-wave equations ⋮ Wavelet-Galerkin method for identifying an unknown source term in a heat equation ⋮ Conditional stability for an inverse problem of determining a space-dependent source coefficient in the advection-dispersion equation with Robin's boundary condition ⋮ The truncation method for identifying the heat source dependent on a spatial variable ⋮ Identifying unknown source in degenerate parabolic equation from final observation ⋮ A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation ⋮ Optimal error bound and generalized Tikhonov regularization for identifying an unknown source in the heat equation ⋮ 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 ⋮ Determining an unknown source in the heat equation by a wavelet dual least squares method ⋮ Identifying an unknown source term in a heat equation

Cites Work

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• Parameter identification by a single injection extraction well
• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• Lipschitz stability of an inverse problem for an acoustic equation
• Inverse problems for partial differential equations

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