Back-scattering and nonlinear Radon transformation

Anders Melin[1]

  • [1] Centre for Mathematical Sciences, Box 118, S-222 00 Lund, Sweden

Séminaire Équations aux dérivées partielles (1998-1999)

  • Volume: 1998-1999, page 1-14

How to cite

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Melin, Anders. "Back-scattering and nonlinear Radon transformation." Séminaire Équations aux dérivées partielles 1998-1999 (1998-1999): 1-14. <http://eudml.org/doc/10964>.

@article{Melin1998-1999,
affiliation = {Centre for Mathematical Sciences, Box 118, S-222 00 Lund, Sweden},
author = {Melin, Anders},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {intertwining operators; Fourier transform; scattering operator; wave operator; wave equation; Schrödinger operator; continuous spectrum},
language = {eng},
pages = {1-14},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Back-scattering and nonlinear Radon transformation},
url = {http://eudml.org/doc/10964},
volume = {1998-1999},
year = {1998-1999},
}

TY - JOUR
AU - Melin, Anders
TI - Back-scattering and nonlinear Radon transformation
JO - Séminaire Équations aux dérivées partielles
PY - 1998-1999
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1998-1999
SP - 1
EP - 14
LA - eng
KW - intertwining operators; Fourier transform; scattering operator; wave operator; wave equation; Schrödinger operator; continuous spectrum
UR - http://eudml.org/doc/10964
ER -

References

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  1. Beals, R., Coifman, R., Multidimensional inverse scattering and nonlinear PDE, Proc. Symp. Pure Math. 43 (1985), 45–70. Zbl0575.35011
  2. Eskin, G., Ralston, J., The inverse backscattering problem in three dimensions, Comm. Math. Phys. (1989), 169–215. Zbl0706.35136MR1012864
  3. Melin, A., On the use of intertwining operators in inverse scattering, In Holden, H. and Jensen, A., editors, Schrödinger operators, volume 345 of Lecture Notes in Physics, pages 383–400. Springer-Verlag, 1989. Zbl0702.35240MR1037325
  4. Melin, A. The inverse scattering problem for a quantum mechanical two-body system, In Gyllenberg, M. and Persson, L. E., editors, Analysis, algebra and computers in mathematical research (proc of 21:st Nordic congress of mathematicians), Lecture notes in pure and applied mathematics, pages 247–262. Zbl0806.35189MR1280950
  5. Melin, A., The Faddeev approach to inverse scattering, In Hörmander, L. and Melin, A., editors, Partial differential equations and mathematical physics, Progress in nonlinear differential equations and their applications, pages 226–245. Birkhäuser, 1996. Zbl0848.35085MR1380994
  6. Greenleaf, A., Uhlmann, G., Recovering singularities of a potential from singularities of scattering data, Comm. Math. Phys. 157 (1993), 549–572. Marcel Dekker, 1994. Zbl0790.35112MR1243710

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