Inverse problems and microlocal analysis

Anders Melin

Journées équations aux dérivées partielles (1991)

  • page 1-7
  • ISSN: 0752-0360

How to cite


Melin, Anders. "Inverse problems and microlocal analysis." Journées équations aux dérivées partielles (1991): 1-7. <>.

author = {Melin, Anders},
journal = {Journées équations aux dérivées partielles},
keywords = {inverse scattering; two-body Schrödinger operator; exceptional points},
language = {eng},
pages = {1-7},
publisher = {Ecole polytechnique},
title = {Inverse problems and microlocal analysis},
url = {},
year = {1991},

AU - Melin, Anders
TI - Inverse problems and microlocal analysis
JO - Journées équations aux dérivées partielles
PY - 1991
PB - Ecole polytechnique
SP - 1
EP - 7
LA - eng
KW - inverse scattering; two-body Schrödinger operator; exceptional points
UR -
ER -


  1. 1. L.D. Faddeev, Factorisation of an S-matrix of a multidimensional Schrödinger operator. Dokl.Akad.Nauk SSSR, 167:1 (1966), 69-72. MR34 #7142
  2. 2. L.D. Faddeev, Inverse problem of quantum scattering theory, II. J.Sov.Math. 5(1976), 334-396. Zbl0373.35014
  3. 3. G.M. Henkin and R.G. Novikov, The ∂-equation in multi-dimensional inverse scattering (in Russian), Uspeckhi Mat. Nauk 42:3 (1987), 93-152, also in Russian Math. Surveys 42:3 (1987), 109-180. Zbl0674.35085
  4. 4. L. Hörmander, The analysis of linear partial differential equations I-IV, Springer-Verlag, Berlin—Heidelberg—New-York—Tokyo, 1983. Zbl0521.35001
  5. 5. R.B. Lavine and A.I Nachman, On the inverse scattering transform for the n-dimensional Schrödinger operator. Topics in soliton theory and exactly solvable nonlinear equations (Proc. Conf. on nonlinear evolution equations, solitons and the inverse scattering transform, Oberwolfach 1986). World Scientific, 1987, 33-44. Zbl0736.35090
  6. 6. A. Melin, Intertwining methods in multidimensional scattering theory I. Preprint University of Lund and Lund Institute of Technology, 1987. 
  7. 7. R.G. Newton, Inverse Schrödinger scattering in three dimensions. Texts and Monographs in Physics. Springer Verlag, 1989. Zbl0697.35005
  8. 8. R. Weder, Characterization of the scattering data in multidimensional inverse scattering theory, preprint Comunicaciones Técnicas. IIMAS-UNAM Serie Naranja, No 578, 1991. Zbl0734.35070MR92g:35167

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