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<i>L</i><sub><i>p</i></sub>-Estimates of Solutions to <i>n</i>-Dimensional Parabolic-Parabolic System for Chemotaxis with Subquadratic Degradation
We study the global existence of solutions to an n-dimensional parabolic-parabolic system for chemotaxis with a subquadratic degradation. We introduce sublinear production of a chemoattractant. We then show the global existence of solutions in Lp space (p > n) under certain relations between the degradation and production orders.