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Journal of Differential Equations, 2019
A fully parabolic chemotaxis system with signal dependent sensitivity is studied in bounded smooth domains of ${\mathbb R}^N$, $N\ge 2$. Using new weighted energy estimates (and subtle properties of Bessel functions) global-in-time existence of solutions is proved in a parameter range larger than that in the paper [\textit{M.
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A fully parabolic chemotaxis system with signal dependent sensitivity is studied in bounded smooth domains of ${\mathbb R}^N$, $N\ge 2$. Using new weighted energy estimates (and subtle properties of Bessel functions) global-in-time existence of solutions is proved in a parameter range larger than that in the paper [\textit{M.
openaire +1 more source