Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces

@article{Mantile2019InverseSF,
  title={Inverse scattering for the Laplace operator with boundary conditions on Lipschitz surfaces},
  author={Andrea Mantile and Andrea Posilicano},
  journal={Inverse Problems},
  year={2019}
}
We provide a general scheme, in the combined frameworks of Mathematical Scattering Theory and Factorization Method, for inverse scattering for the couple of self-adjoint operators $(\widetilde\Delta,\Delta)$, where $\Delta$ is the free Laplacian in $L^{2}({\mathbb R}^{3})$ and $\widetilde\Delta$ is one of its singular perturbations, i.e., such that the set $\{u\in H^{2}({\mathbb R}^{3})\cap \text{dom}(\widetilde\Delta)\, :\, \Delta u=\widetilde\Delta u\}$ is dense. Typically $\widetilde\Delta… 
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