Nondegeneracy of blow-up points for the parabolic Keller–Segel system

This paper is concerned with the parabolic Keller–Segel system \left\{\begin{matrix} u_{t} = \mathrm{∇} \cdot \left(\mathrm{∇}u−u^{m}\mathrm{∇}v\right) & \text{in }\Omega \times (0,T), \\ \Gamma v_{t} = \mathrm{\Delta }v−\lambda v + u & \text{in }\Omega \times (0,T), \\ \end{matrix}\right. in a doma... View More