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A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis. (English) Zbl 0977.35061
The paper deals with a priori estimates for solutions of a strongly coupled reaction-diffusion system, modeling competition of species in the presence of chemotaxis. These are employed in proving global existence of solutions.

MSC:
35K57 Reaction-diffusion equations
35B45 A priori estimates in context of PDEs
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