Zaizheng Li

most citedLong-time dynamics for the energy critical heat equation in

R^{5}

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math.AP2023★ 1 cited

Long-time dynamics for the energy critical heat equation in $R^{5}$

Zaizheng Li, Qidi Zhang, Yifu Zhou +1

We investigate the long-time behavior of global solutions to the energy critical heat equation in $R^{5}$ \begin{equation*} \begin{cases} \pp_t u=Δu+|u|^{\frac{4}{3}} u ~&\mbox{ in }…

math.AP2019

Sub-solutions and a point-wise Hopf's Lemma for Fractional p-Laplacian

Zaizheng Li, Qidi Zhang

We prove a Hopf's lemma in the point-wise sense. The essential technique is to prove $(- Δ)_{p}^{s} u (x)$ is uniformly bounded in the unit ball $B_{1} \subset R^{n}$ , where $u(x)=(1-…

Long-time dynamics for the energy critical heat equation in R5

Sub-solutions and a point-wise Hopf's Lemma for Fractional p-Laplacian

Long-time dynamics for the energy critical heat equation in $R^{5}$