Inverse scattering problems in several dimensions

Gregory Eskin; James Ralston

Journées équations aux dérivées partielles (1993)

  • Volume: 1993, Issue: 17, page 1-11
  • ISSN: 0752-0360

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Eskin, Gregory, and Ralston, James. "Inverse scattering problems in several dimensions." Journées équations aux dérivées partielles 1993.17 (1993): 1-11. <http://eudml.org/doc/93268>.

@article{Eskin1993,
author = {Eskin, Gregory, Ralston, James},
journal = {Journées équations aux dérivées partielles},
keywords = {Schrödinger equation; incident plane wave; reflected wave; backscattering amplitude},
language = {eng},
number = {17},
pages = {1-11},
publisher = {Ecole polytechnique},
title = {Inverse scattering problems in several dimensions},
url = {http://eudml.org/doc/93268},
volume = {1993},
year = {1993},
}

TY - JOUR
AU - Eskin, Gregory
AU - Ralston, James
TI - Inverse scattering problems in several dimensions
JO - Journées équations aux dérivées partielles
PY - 1993
PB - Ecole polytechnique
VL - 1993
IS - 17
SP - 1
EP - 11
LA - eng
KW - Schrödinger equation; incident plane wave; reflected wave; backscattering amplitude
UR - http://eudml.org/doc/93268
ER -

References

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  1. [ER1] G. Eskin and J. Ralston, The inverse backscattering in three dimensions, Comm. Math. Phys. 124 (1989), 169-215. Zbl0706.35136MR90j:35067
  2. [ER2] G. Eskin and J. Ralston, Inverse backscattering in two dimensions, Comm. Math. Phys. 138 (1991), 451-486. Zbl0728.35146MR92m:81301
  3. [ER3] G. Eskin and J. Ralston, Inverse backscattering, Journal d'Analyse Mathematique, vol. 58 (1992), 177-190. Zbl0819.35144MR94f:35143
  4. [F] L. D. Faddeev, Inverse problem of quantum scattering theory, II. J. Sov. Math. 5 (1976), 334-396. Zbl0373.35014
  5. [Ma] V. A. Marchenko, Sturm-Liouville Operators and Applications, Birkäuser, Basel, 1986. Zbl0592.34011MR88f:34034
  6. [Me] A. Melin, The Lippman-Schwinger equation treated as a characteristic Cauchy problem, Seminaire sur EDP 1988-1989, Expose IV, Ecole Polytech., Palaiseau. Zbl0702.35065
  7. [N] R. Newton, Inverse scattering II, III, IV, J. Math. Phys. 21 (1980), 1698-1715; J. Math. Phys. 22 (1981), 2191-2200 ; J. Math. Phys. 23 (1982), 594-604. Zbl0456.35070
  8. [NK] R. G. Novikov and G. M. Khenkin, The ∂-equation in multidimensional inverse scattering problems, Russ. Math. Surveys 42 (1987), 109-180. Zbl0674.35085MR89d:35043
  9. [No] R. G. Novikov, The inverse scattering problem on a fixed energy level for two-dimensional Schrödinger operator, Journ. of Funct. Anal. 103, 409-463 (1992). Zbl0762.35077MR93e:35080

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