A new nonlinear Fisher information identity is used to prove global existence for the critical 1D Keller-Segel system with D=(1+u)^{-2}, S=u(1+u)^{-1}.
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Nonlinear Fisher information, corresponding functional inequalities and applications
A new nonlinear Fisher information identity is used to prove global existence for the critical 1D Keller-Segel system with D=(1+u)^{-2}, S=u(1+u)^{-1}.