Maximal estimates for fractional Schr\"odinger equations with spatial variable coefficient

Let $v(r,t)=\mathcal{T}_tv_0(r)$ be the solution to a fractional Schrodinger equation where the coefficient of Laplacian depends on the spatial variable. We prove some weighted $L^q$ estimates for the maximal operator generated by $\mathcal{T}_t$ with initial data in a Sobolev-type space.

Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Author:	Bo-Wen Zheng
Format:	Article
Language:	English
Published:	Texas State University 2018-07-01
Subjects:	Schrodinger equation with spatial variable coefficient maximal estimate Hankel-Sobolev space
Online Access:	http://ejde.math.txstate.edu/Volumes/2018/139/abstr.html