论文标题
径向聚焦的能量散射不均匀双谐波schrödinger方程
Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations
论文作者
论文摘要
本说明研究了全球解决方案对四阶schrödinger方程的渐近行为$$ i \ dot i \ dot u+δ^2 u++f(x,u)= 0。$$的确,对于局部和非本地源术语,散射都是在聚焦的质量质量质量质量和能量质量和亚临界方案中获得的。由于Dodson-Murphy \ cite {dm},这项工作使用了一种新方法。
This note studies the asymptotic behavior of global solutions to the fourth-order Schrödinger equation $$i\dot u+Δ^2 u+F(x,u)=0 .$$ Indeed, for both cases, local and non-local source term, the scattering is obtained in the focusing mass super-critical and energy sub-critical regimes, with radial setting. This work uses a new approach due to Dodson-Murphy \cite{dm}.