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Scattering for the forced non-linear Schrödinger equation with a potential on the half-line

✍ Scribed by Ricardo Weder

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
173 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper we construct the scattering operator for the forced non-linear Schr odinger equation with a potential on the half-line. Moreover, in the case where the force is zero, and the solutions satisfy the homogeneous Dirichlet boundary condition at zero, we prove that the scattering operator determines uniquely the potential and the non-linearity and we give a method for the reconstruction of both.

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