Author

Hu-Yuan Chen

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Preprint Sep 2026

The fractional Fisher-KPP equation with free boundaries

In this paper, we consider a free boundary problem with fractional diffusion $(-\Delta)^s$ $(0<s<1)$, as a model for species spreading, which can be viewed as a natural extension of the free boundary model in \cite{CDLL2019}, where the nonlocal diffusion term is defined via a continuous integrable kernel function $J(x)...

Hu-Yuan Chen, Yi-Hong Du, Wen-Jie Ni · 0 citations

Preprint Sep 2026

Poisson problem with Hardy operator on lattice graph $ \mathbb{Z}^d$ and the application to semilinear equations

In this paper, we investigate the analytic properties of the Hardy-type operator $-\Delta + \mu H_0$ on the $d$-dimensional integer lattice graph $\mathbb{Z}^d$, where $\mu \geq -1$ and $H_0$ is a critical Hardy potential at infinity--arising naturally from discrete Hardy inequalities. We derive sharp fixed-pole Green...

Hu-Yuan Chen, Bo-Bo Hua, Wen-Di Xu · 0 citations