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Start Over Author "Segata, Jun-ichi" Publisher taylor & francis ltd
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1. Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential.

Author

Segata, Jun-Ichi

Subjects
*NONLINEAR Schrodinger equation, *DELTA-functional potential, *FOURIER transforms, *ASYMPTOTIC theory in nonlinear differential equations, *RIEMANN-Hilbert problems, *THEORY of wave motion
Abstract

We consider the asymptotic behavior in time of solutions to the cubic nonlinear Schrödinger equation with repulsive delta potential (δ-NLS). We shall prove that for a given small asymptotic profileuap, there exists a solutionuto (δ-NLS) which converges touapinL2(ℝ) ast → ∞. To show this result we exploit the distorted Fourier transform associated to the Schrödinger equation with delta potential. [ABSTRACT FROM PUBLISHER]

Published
2015
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