Xiaoyan Su

activity

20192023

most citedHölder regularity for the time fractional Schrödinger equation

3 citations · 7 across the 5 of their papers we have counts for

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3 papers · 2 filters

math.AP2019★ 3 cited

Hölder regularity for the time fractional Schrödinger equation

Xiaoyan Su, Jiqiang Zheng

In this paper, we investigate that the Hölder regularity of solutions to the time fractional Schrödinger equation of order $1 < α < 2$ , which interpolates between the Schrödinger and w…

math.AP2019★ 1 cited

Dispersive estimates for time and space fractional Schrödinger equations

Xiaoyan Su, Shiliang Zhao, Miao Li

In this paper, we consider the Cauchy problem for the fractional Schrödinger equation $i D_{t}^{α} u + (- Δ)^{\frac{β}{2}} u = 0$ with $0 < α < 1$ , $β > 0$ . We establish the dispersive estimates…

math.AP2019★ 1 cited

Local well-posedness of semilinear space-time fractional Schrödinger equation

Xiaoyan Su, Shiliang Zhao, Miao Li

The semilinear space-time fractional Schrödinger equation is considered. First, we give the explicit form for the fundamental solutions by using the Fox $H$ -functions in order to t…