Scattering for a nonlinear Schrödinger equation with a potential
نویسندگان
چکیده
منابع مشابه
ṕ Estimates for the Schrödinger Equation on the Line and Inverse Scattering for the Nonlinear Schrödinger Equation with a Potential ∗
In this paper I prove a L − L estimate for the solutions of the one–dimensional Schrödinger equation with a potential in Lγ where in the generic case γ > 3/2 and in the exceptional case (i.e. when there is a half–bound state of zero energy) γ > 5/2. I use this estimate to construct the scattering operator for the nonlinear Schrödinger equation with a potential. I prove moreover, that the low–en...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2016
ISSN: 1534-0392
DOI: 10.3934/cpaa.2016003