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Start Over Author "Segata, Jun-ichi" Publisher oxford university press / usa
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1. Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential.

Author

Masaki, Satoshi, Murphy, Jason, and Segata, Jun-Ichi

Subjects
NONLINEAR Schrodinger equation, SOBOLEV spaces, SCHRODINGER equation
Abstract

We consider the initial-value problem for the one-dimensional cubic nonlinear Schrödinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev space lead to global solutions that decay in |$L^{\infty }$| and exhibit modified scattering. [ABSTRACT FROM AUTHOR]

Published
2019
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