Stability Estimates for the Inverse Conductivity Problem for Less Regular Conductivities
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Publication:3628745
DOI10.1080/03605300902768982zbMath1170.35558OpenAlexW1966048248MaRDI QIDQ3628745
Publication date: 20 May 2009
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605300902768982
Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)
Related Items (6)
Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator ⋮ Stability estimates for the Radon transform with restricted data and applications ⋮ Stability of the inverse boundary value problem for the biharmonic operator: logarithmic estimates ⋮ Uniqueness for an inverse problem in electromagnetism with partial data ⋮ Stability estimates for the inverse boundary value problem by partial Cauchy data ⋮ Stability estimates for the inverse boundary value problem for the biharmonic operator with bounded potentials
Cites Work
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- Complex geometrical optics solutions for Lipschitz conductivities.
- Uniqueness in the inverse conductivity problem for conductivities with \(3/2\) derivatives in \(L^p\), \(p>2n\)
- Calderón's inverse conductivity problem in the plane
- Exponential instability in an inverse problem for the Schrödinger equation
- Stability estimates for the inverse boundary value problem by partial Cauchy data
- Inverse boundary value problems at the boundary—continuous dependence
- Stable determination of conductivity by boundary measurements
- Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
- The Calderón Problem with Partial Data for Less Smooth Conductivities
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