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Tikhonov regularization by a reproducing kernel Hilbert space for the Cauchy problem for an elliptic equation. (English) Zbl 1185.65173

MSC:
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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