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By using the matrix representation of the Laplacian, under Dirichlet and Robin boundary conditions, we recast a boundary inversion problem for the tokamak into a simple algebraic system. The solution is then obtained explicitly in terms of the Fourier coefficients of the observation.
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Amin Boumenir, A solvability condition for a tokamak problem. J. Spectr. Theory 7 (2017), no. 1, pp. 227–233DOI 10.4171/JST/161