This note studies the asymptotic behavior of global solutions to the fourth-order Schrödinger equation

$$ i\dot u+{\Delta}^{2} u-F(x,u)=0 . $$

Indeed, for both cases, local and non-local source term, the scattering is obtained in the defocusing mass super-critical and energy sub-critical regimes, with radial setting.

中文翻译：

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径向离焦非均匀双调和薛定D方程的散射

本笔记研究四阶Schrödinger方程的整体解的渐近行为

$$ i \ dot u + {\ Delta} ^ {2} uF（x，u）= 0。$$

确实，对于两种情况，局部和非局部源项，在径向设置的散焦质量超临界和能量亚临界状态下均能获得散射。