A singularly perturbed reaction-diffusion problem with inhomogeneous environment

  • Authors:
  • Li-Chin Yeh

  • Affiliations:
  • Department of Mathematics, National Hsinchu Teachers College, Hsin-Chu, Taiwan

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Proceedings of the international conference on boundary and interior layers - computational and asymptotic methods (BAIL 2002)
  • Year:
  • 2004

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Abstract

Reaction--diffusion problems have been used to describe pattern formation in developmental biology and material science. I study the existence and stability of a singularly perturbed reaction--diffusion problem with inhomogeneous environment in one-dimensional space domain and also high-dimensional space domain.