Nonlinearity helps the convergence of the inverse Born series

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Series solutions to PDEs (35C10) Semilinear elliptic equations (35J61)

Cites Work

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The Radon transform. The first 100 years and beyond
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Analysis of the inverse Born series: an approach through geometric function theory
A remark on partial data inverse problems for semilinear elliptic equations
An inverse problem for a semi-linear wave equation: a numerical study
Born and inverse Born series for scattering problems with Kerr nonlinearities

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