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math.AP2021
On the cauchy problem with degenerate diffusion and nonlocal nonlinear sources
Shen Bian
This paper is devoted to the analysis of non-negative solutions for a generalisation of the parabolic equation with porous medium like nonlinear diffusion and nonlinear nonlocal re…
math.AP2019
Global existence in the critical and subcritical cases to the Fisher-KPP model with nonlocal nonlinear reaction
Shen Bian
The Cauchy problem considered in this paper is the following \begin{align} \left\{ \begin{array}{ll} u_t=Δu+u^α\left(M_0- \int_{\mathbb{R}^n} u(x,t)dx\right),\quad & x \in \mathbb{…
math.AP2017
Chemotaxis model with subcritical exponent in nonlocal reaction
Shen Bian, Li Chen, Evangelos A. Latos
This paper deals with a parabolic-elliptic chemotaxis system with nonlocal type of source in the whole space. It's proved that the initial value problem possesses a unique global s…