Bin Shen

activity

20232025

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math.DG2024

Gradient estimate for Fisher-KPP equation on Finsler metric measure spaces

Bin Shen, Dingli Xia

In this manuscript, we study the positive solutions of the Finslerian Fisher-KPP equation $u_{t} = Δ^{\nabla u} u + c u (1 - u) .$ The Fisher-KPP equation is widely applied and connected…

math.DG2024

Li-Yau Estimates for a Nonlinear Parabolic Equation on Finsler Manifolds

Bin Shen, Yuhan Zhu

In this paper, we explore the positive solutions to the Finslerian nonlinear equation $\frac{\partial u}{\partial t} = Δ^{\nabla u} u + a u lo g u + b u,$ which is related to Ricci…

math.DG2024

Gradient estimates of the Finslerian Allen-Cahn equation

Bin Shen

In this manuscript, we study bounded positive solutions to the Finslerian Allen-Cahn equation. The Allen-Cahn equation is widely applied and connected to many mathematical branches…