Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains

Authors

Yi Li, Wright State University - Main CampusFollow
Chunshan Zhao

Document Type

Article

Publication Date

2-2005

Abstract

We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N-dimensional (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.

Repository Citation

Li, Y., & Zhao, C. (2005). Global Existence of Solutions to a Cross-Diffusion System in Higher Dimensional Domains. Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 12 (2), 185-192.
https://corescholar.libraries.wright.edu/math/104

DOI

10.3934/dcds.2005.12.185