Multidimensional inverse scattering problem for the Schrödinger equation

Abstract: We give a short review of old and recent results on the multidimensional inverse scattering problem for the Schrödinger equation. A special attention is paid to efficient reconstructions of the potential from scattering data which can be measured in practice. Potential applications include phaseless inverse X-ray scattering, acoustic tomography and tomographies using elementary particles.

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

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