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math.AP2020
Propagation acceleration in reaction diffusion equations with anomalous diffusions
Jérôme Coville, Changfeng Gui, Mingfeng Zhao
In this paper, we are interested in the properties of solution of the nonlocal equation $$\begin{cases}u_t+(-Δ)^su=f(u),\quad t>0, \ x\in\mathbb{R}\\ u(0,x)=u_0(x),\quad x\in\mathb…
math.PR2020★ 7 cited
Dimension-Free Square Function Estimates for Dunkl Operators
Huaiqian Li, Mingfeng Zhao
Dunkl operators may be regarded as differential-difference operators parameterized by finite reflection groups and multiplicity functions. In this paper, the Littlewood--Paley squa…