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Scattering theory for second-order elliptic operators

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Publication:1050546
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DOI10.1007/BF01093132zbMath0513.35065OpenAlexW1974210816MaRDI QIDQ1050546

Michael Perelmuter

Publication date: 1983

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01093132


zbMATH Keywords

asymptotic completeness of wave operatorsEnss's method


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Second-order elliptic equations (35J15) Scattering theory of linear operators (47A40)




Cites Work

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  • Link between the geometrical and the spectral transformation approaches in scattering theory
  • On Enss' approach to scattering theory
  • Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
  • A canonical decomposition for quadratic forms with applications to monotone convergence theorems
  • Kato's inequality and the comparison of semigroups
  • Schrödinger operators with singular potentials
  • On decoupling of finite singularities in the scattering theory for the Schrödinger operator with a magnetic field
  • SOME PROBLEMS ON EXPANSION IN GENERALIZED EIGENFUNCTIONS OF THE SCHRÖDINGER OPERATOR WITH STRONGLY SINGULAR POTENTIALS


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