Affordable Access

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

Authors
  • Cho, Chu-Hee
  • Koh, Youngwoo
  • Seo, Ihyeok
Type
Preprint
Publication Date
Jul 08, 2015
Submission Date
Jan 22, 2015
Identifiers
arXiv ID: 1501.05399
Source
arXiv
License
Yellow
External links

Abstract

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 $\alpha/r+n/w=\alpha$.

Report this publication

Statistics

Seen <100 times