49 citations · 59 across the 4 of their papers we have counts for
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math.AP2021★ 49 cited
Global boundedness of solutions to a parabolic-parabolic chemotaxis system with local sensing in higher dimensions
Kentaro Fujie, Takasi Senba
This paper deals with classical solutions to the parabolic-parabolic system \begin{align*} \begin{cases} u_t=Δ(γ(v) u ) &\mathrm{in}\ Ω\times(0,\infty), \\[1mm] v_t=Δv - v + u &\ma…
math.AP2021★ 1 cited
Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
Kentaro Fujie, Takasi Senba
This paper deals with the fully parabolic chemotaxis system of local sensing in higher dimensions. Despite the striking similarity between this system and the Keller--Segel system,…