Open issues of stability for the inverse conductivity problem
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Publication:5432654
DOI10.1515/jiip.2007.025zbMath1221.35443OpenAlexW2063346642MaRDI QIDQ5432654
Publication date: 17 December 2007
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2007.025
PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)
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Cites Work
- Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
- Barrelled and bornological function spaces
- A remark on a paper by Alessandrini and Vessella
- Lipschitz stability for the inverse conductivity problem
- The Calderón problem with partial data
- Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $\mathcal {R}^3$
- Exponential instability in an inverse problem for the Schrödinger equation
- Stability estimates for the inverse boundary value problem by partial Cauchy data
- On uniqueness of recovery of a discontinuous conductivity coefficient
- Electrical Impedance Tomography
- Examples of instability in inverse boundary-value problems
- Examples of exponential instability for inverse inclusion and scattering problems
- Stability for an inverse boundary problem of determining a part of a boundary
- Stable determination of conductivity by boundary measurements
- Extension of Solutions of elliptic equations from discrete sets
- Electrical impedance tomography
- Stable Determination of an Inclusion by Boundary Measurements
- Stability of the inverse conductivity problem in the plane for less regular conductivities
- Optimal stability for the inverse problem of multiple cavities
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