Maximal estimates for fractional Schrödinger equations with spatial variable coefficient
Date
2018-07-03
Authors
Zheng, Bo-wen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Let v(r, t) = Ttv0(r) be the solution to a fractional Schrödinger equation where the coefficient of Laplacian depends on the spatial variable. We prove some weighted Lq estimates for the maximal operator generated by Tt with initial data in a Sobolev-type space.
Description
Keywords
Schrödinger equation with spatial variable coefficient, Maximal estimate, Hankel-Sobolev space
Citation
Zheng, B. W. (2018). Maximal estimates for fractional Schrödinger equations with spatial variable coefficient. <i>Electronic Journal of Differential Equations, 2018</i>(139), pp. 1-13.
Rights
Attribution 4.0 International