Dept. Math, Hokkaido Univ. EPrints Server

The inverse scattering problem for Schr\"odinger and Klein-Gordon equations with a nonlocal nonlinearity

Preprint Series # 772
Sasaki, Hironobu The inverse scattering problem for Schr\"odinger and Klein-Gordon equations with a nonlocal nonlinearity. (2006);

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Abstract

We study the inverse scattering problem for the nonlinear Schr\"odinger equation and for the nonlinear Klein-Gordon equation with the generalized Hartree type nonlinearity. We reconstruct the nonlinearity from knowledge of the scattering operator, which improves the known results.

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1509