Inverse problems and microlocal analysis
Copyright policy )Inverse problems and microlocal analysis
In this lecture we discuss some recent problems in inverse scattering for the two-body Schrödinger operator \(H_ v=H_ 0+v\) in \(\mathbb{R}^ n\) where \(H_ 0=-\Delta\). The main part of the presentation will be devoted to the definition of exceptional points for \(H_ v\) and a study of the geometrical properties of the set \({\mathcal E}\) of such points. At the end of the lecture we explain briefly why the investigation of the set \({\mathcal E}\) is important in inverse scattering.
Inverse problems for PDEs, two-body Schrödinger operator, Scattering theory for PDEs, inverse scattering, exceptional points, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
Inverse problems for PDEs, two-body Schrödinger operator, Scattering theory for PDEs, inverse scattering, exceptional points, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
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