The interctitical defocusing nonlinear Schrödinger equations with radial initial data in dimensions four and higher

Chuanwei Gao, Changxing Miao, Jianwei Yang

In this paper, we consider the defocusing nonlinear Schrödinger equation in space dimensions $d\ge 4$. We prove that if $u$ is a radial solution which is \emph{priori} bounded in…