# On inhomogeneous Strichartz estimates for fractional Schr\"odinger equations and their applications

Authors
Type
Preprint
Publication Date
Jul 08, 2015
Submission Date
Jan 22, 2015
Identifiers
arXiv ID: 1501.05399
Source
arXiv
In this paper we obtain some new inhomogeneous Strichartz estimates for the fractional Schr\"odinger equation in the radial case. Then we apply them to the well-posedness theory for the equation $i\partial_{t}u+|\nabla|^{\alpha}u=V(x,t)u$, $1<\alpha<2$, with radial $\dot{H}^\gamma$ initial data below $L^2$ and radial potentials $V\in L_t^rL_x^w$ under the scaling-critical range $\alpha/r+n/w=\alpha$.