April  1998, 4(2): 193-203. doi: 10.3934/dcds.1998.4.193

On the global existence of a cross-diffusion system

1. 

Department of Mathematics, University of Chicago, Chicago, Illinois 60637, United States

2. 

School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455

3. 

Institute of Applied Physics and, Computational Mathematics, P.O. Box 8009, Beijing 100088, China

Received  May 1997 Published  February 1998

We consider a strongly-coupled nonlinear parabolic system which arises from population dynamics. The global existence of classical solutions is established when the space dimension is two and one of the cross-diffusion pressures is zero.
Citation: Yuan Lou, Wei-Ming Ni, Yaping Wu. On the global existence of a cross-diffusion system. Discrete and Continuous Dynamical Systems, 1998, 4 (2) : 193-203. doi: 10.3934/dcds.1998.4.193
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