Complex geometrical optics solutions for Lipschitz conductivities.
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Publication:1413718
DOI10.4171/RMI/338zbMath1055.35144OpenAlexW2076856560MaRDI QIDQ1413718
Alexander Panchenko, Lassi Päivärinta, Gunther Uhlmann
Publication date: 17 November 2003
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39686
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Geometric optics (78A05)
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Cites Work
- Unnamed Item
- A global uniqueness theorem for an inverse boundary value problem
- The uniqueness of a solution to an inverse scattering problem for electromagnetic waves
- Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
- Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- Global uniqueness for a two-dimensional inverse boundary value problem
- Determining conductivity by boundary measurements
- Determining conductivity by boundary measurements II. Interior results
- A uniqueness theorem for an inverse boundary value problem in electrical prospection
- Inverse boundary value problems at the boundary—continuous dependence
- Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
- Exponentially Growing Solutions for Nonsmooth First-Order Perturbations of the Laplacian
- An inverse problem for the magnetic Schr dinger equation and quasi-exponential solutions of nonsmooth partial differential equations
- Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
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