Journal
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Volume 37, Issue 5, Pages 1645-1668Publisher
ROCKY MT MATH CONSORTIUM
DOI: 10.1216/rmjm/1194275939
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A general triangular cross diffusion system given on a domain of arbitrary dimension n is considered. It will be shown that (L-infinity, L-p) boundedness implies uniformly boundedness. The general result is then applied to several systems to obtain global existence. In some cases, the existence of a global attractor is also proven.
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