Inverse boundary problems for elliptic PDE and best approximation by analytic functions
نویسندگان
چکیده
Inverse boundary data transmission Cauchy type problems for two dimensional elliptic PDE can be efficiently approached using best constrained approximation schemes in Hardy (Hilbert) classes of analytic functions bounded on the domain’s boundary. Such recovery results and algorithms generalize the classical planar links between harmonic and analytic functions (of the complex variable). Specifically, we will be concerned with isotropic conductivity PDE for smooth coefficients, in annular domains. A physical application to magnetic plasma confinment in tokamaks will be discussed. This is based on the works [1, 2, 3, 4, 5, 6].
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