Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential

Jun Ichi Segata

研究成果: Article査読

7 被引用数 (Scopus)

抄録

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 profile u ap, there exists a solution u to (δ-NLS) which converges to u apin L 2(ℝ) as t → ∞. To show this result we exploit the distorted Fourier transform associated to the Schrödinger equation with delta potential.

本文言語English
ページ(範囲)309-328
ページ数20
ジャーナルCommunications in Partial Differential Equations
40
2
DOI
出版ステータスPublished - 2015 2 1

ASJC Scopus subject areas

  • 分析
  • 応用数学

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