The Cauchy problem of non-local space-time reaction-diffusion equation involving fractional p-Laplacian

2022/07/10 by Fei Gao, Gao, Fei, Hui Zhan +1
Mathematics · #26A33 #34A08 (Secondary) #35Q92 #35R11(Primary) #92B06 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #G.1.8 #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2207.04464

openalex publication_date 2022/07/10 · openalex created_date 2022/07/13 · openalex updated_date 2026/07/28

Abstract

For the non-local space-time reaction-diffusion equation involving fractional p-Laplacian \begincases \frac∂^αu∂ t^α+(-Δ)_p^s u=μu²(1-kJ*u)-γu,amp;(x,t)∈ℝ^N×(0,T)
u(x,0)=u₀(x),amp; x∈ℝ^N \endcases μ>0 ,k>0,γ≥ 1,α∈(0,1),s∈(0,1),1

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