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Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces. (English) Zbl 1436.35269

The authors use a combination of mathematical scattering theory and the factorization method, to analyse an inverse scattering problem for a couple of self-adjoint operators (based on the free Laplacian and one of its singular perturbations) with boundary conditions on Lipschitz surfaces.

MSC:

35P25 Scattering theory for PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35R30 Inverse problems for PDEs
35J60 Nonlinear elliptic equations

References:

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