Miao Li

activity

20102019

most citedInverses of generators of integrated fractional resolvent operator functions

8 citations · 10 across the 5 of their papers we have counts for

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3 papers · 1 filter

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…

math.AP2010

On fractional powers of generators of fractional resolvent families

Miao Li, Chuang Chen, Fu-Bo Li

We show that if $- A$ generates a bounded $α$ -times resolvent family for some $α \in (0, 2]$ , then $- A^{β}$ generates an analytic $γ$ -times resolvent family for $β\in(0,\frac{2π-πγ}{2π-…