September 2009 , Volume 60 , Issue 5, pp 840-867
Global existence of solutions for a nonlinearly perturbed Keller–Segel system in ${\mathbb{R}}^2$
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Abstract.
We show the global existence of small solution to the perturbed Keller–Segel system of simplified version. Our system has a perturbed nonlinear term of worse sign, therefore the existence and uniqueness of solution is not really obvious. The local existence theorem is obtained by a variational observation for the elliptic part.
