Global-in-time Strichartz estimates and cubic Schrödinger equation in a conical singular space

Junyong Zhang, Jiqiang Zheng

In this paper, we study Strichartz estimates for the Schrödinger equation on a metric cone $X$, where $X=C(Y)=(0,\infty {)}_r\times Y$ and the cross section $Y$ is a $(n-1)$-dimension…