Semiclassical Estimates for Scattering on the Real Line

15 Aug 2019 Datchev Kiril Shapiro Jacob

We prove explicit semiclassical resolvent estimates for an integrable potential on the real line. The proof is a comparatively easy case of the spherical energies method, which has been used to prove similar theorems in higher dimensions and in more complicated geometric situations... (read more)

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  • ANALYSIS OF PDES
  • MATHEMATICAL PHYSICS
  • CLASSICAL ANALYSIS AND ODES
  • MATHEMATICAL PHYSICS
  • SPECTRAL THEORY