Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 3-45
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Anne Boutet de Monvel; Vladimir Marchenko. The Cauchy problem for nonlinear Schrödinger equation with bounded initial data. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1, pp. 3-45. http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a0/
@article{JMAG_1997_4_1_a0,
author = {Anne Boutet de Monvel and Vladimir Marchenko},
title = {The {Cauchy} problem for nonlinear {Schr\"odinger} equation with bounded initial data},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {3--45},
year = {1997},
volume = {4},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a0/}
}
TY - JOUR
AU - Anne Boutet de Monvel
AU - Vladimir Marchenko
TI - The Cauchy problem for nonlinear Schrödinger equation with bounded initial data
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1997
SP - 3
EP - 45
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a0/
LA - en
ID - JMAG_1997_4_1_a0
ER -
%0 Journal Article
%A Anne Boutet de Monvel
%A Vladimir Marchenko
%T The Cauchy problem for nonlinear Schrödinger equation with bounded initial data
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1997
%P 3-45
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_1997_4_1_a0/
%G en
%F JMAG_1997_4_1_a0
An analog of scattering data for the operators which are strong limits of reflectionless Dirac operators is introduced and the corresponding inverse problem is solved. On this basis a method of solving the Cauchy problems for nonlinear Schrödinger equation with initial data from a wide set of nonvanishing at infinity functions is developed.
