Geodesic
A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a158,
     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},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a158/}
}
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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__a158/