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Article
Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains
Discrete & Continuous Dynamical Systems (2005)
  • Chunshan Zhao
  • Yi Li, Hunan Normal University
Abstract
We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N-dimensional (N≥1)(N≥1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.
Keywords
  • Global Existence,
  • Cross-diffusion,
  • Self-diffusion,
  • Population Dynamics
Disciplines
Publication Date
2005
DOI
10.3934/dcds.2005.12.185
Citation Information
Chunshan Zhao and Yi Li. "Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains" Discrete & Continuous Dynamical Systems Vol. 12 Iss. 2 (2005) p. 185 - 192 ISSN: 1553-5231
Available at: http://works.bepress.com/chunshan_zhao/27/