On the global existence of a cross-diffusion system

Yuan Lou, Wei Ming Ni, Yaping Wu

Research output: Contribution to journalArticlepeer-review

126 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)193-203
Number of pages11
JournalDiscrete and Continuous Dynamical Systems
Issue number2
StatePublished - 1998


  • A priori estimates
  • Cross-diffusion
  • Global existence


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