Miao Li

most citedDispersive estimates for time and space fractional Schrödinger equations

1 citations · 2 across the 2 of their papers we have counts for

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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…