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Further regularity results for almost cubic nonlinear Schrödinger equation

✍ Scribed by S. Demirbaş; A. Eden; E. Kuz


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
502 KB
Volume
72
Category
Article
ISSN
0362-546X

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We present three results on the scattering of solutions for the almost cubic nonlinear Schrödinger equations. When initial datum has a small X p -norm, the solutions scatter in L 2 , when the initial datum is in H s with a small L 2 -norm with 0 ≤ s ≤ 1 then they scatter in H s . Finally, whenever w

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In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po