Geodesic
A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis
Electronic journal of differential equations, Tome 2001 (2001)
A priori bounds are found for solutions to a strongly coupled reaction-diffusion system that models competition of species in the presence of chemotaxis. These bounds are used to prove the existence of global solutions.
Classification : 35K57, 35B45
Keywords: strongly coupled, reaction-diffusion, chemotaxis 
@article{EJDE_2001__2001__a2,
     author = {Kuiper,  Hendrik J.},
     title = {A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0977.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a2/}
}
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%A Kuiper,  Hendrik J.
%T A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis
%J Electronic journal of differential equations
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%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a2/
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%F EJDE_2001__2001__a2
Kuiper,  Hendrik J. A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a2/