Structural stability in a minimization problem and applications to conductivity imaging
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Publication:534505
DOI10.3934/ipi.2011.5.219zbMath1215.49027OpenAlexW2332309786MaRDI QIDQ534505
Alexandru Tamasan, M. Zuhair Nashed
Publication date: 17 May 2011
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2011.5.219
regularizationbounded variationdegenerate elliptic equationsnon-smooth optimizationconductivity imaging
Nonsmooth analysis (49J52) Inverse problems for PDEs (35R30) Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60)
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Continuity of minimizers to weighted least gradient problems ⋮ Degenerated (p, q)-Laplacian With Weights and Related Equations With Convection ⋮ Imaging conductivity from current density magnitude using neural networks* ⋮ Multiple solutions for a nonlinear Dirichlet problem driven by degenerate \(p\)-Laplacian ⋮ Least gradient problem with Dirichlet condition imposed on a part of the boundary ⋮ Uniqueness of minimizers of weighted least gradient problems arising in hybrid inverse problems ⋮ Stability of Current Density Impedance Imaging ⋮ A regularized weighted least gradient problem for conductivity imaging ⋮ Stability in conductivity imaging from partial measurements of one interior current ⋮ A Weighted Minimum Gradient Problem with Complete Electrode Model Boundary Conditions for Conductivity Imaging ⋮ The method of regularized successive iterations for coupled physics conductivity imaging from a single internal data ⋮ Stability of current density impedance imaging. II ⋮ A Globally Convergent Algorithm for a PDE-Constrained Optimization Problem Arising in Electrical Impedance Tomography
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