Kuiper, Hendrik J. A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis. (English) Zbl 0977.35061 Electron. J. Differ. Equ. 2001, Paper No. 52, 18 p. (2001). 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. Reviewer: Dian K.Palagachev (Bari) Cited in 6 Documents MSC: 35K57 Reaction-diffusion equations 35B45 A priori estimates in context of PDEs Keywords:competition of species in the presence of chemotaxis; global existence of solutions PDF BibTeX XML Cite \textit{H. J. Kuiper}, Electron. J. Differ. Equ. 2001, Paper No. 52, 18 p. (2001; Zbl 0977.35061) Full Text: EMIS EuDML