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| This talk presents a nonlinear $m$-accretive operator approach to parabolic-elliptic chemotaxis systems with nonlinear diffusion and superlinear growth. In the case of Lipschitz growth, Marinoschi (2013) established the existence of local-in-time weak solutions with sufficiently small initial data. The purpose of this talk is to show that in the case of superlinear growth there exists a local-in-time weak solution for any large data. |
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