Article Contents
Article Contents

# Stability from the point of view of diffusion, relaxation and spatial inhomogeneity

• In this paper, we study how stability properties of solutions to general reaction-diffusion systems are related to the diffusion coefficients, response rate, and spatial inhomogeneity. In particular, all eigenvalues of steady states to general shadow systems are completely determined, and some consequences are discussed.
Mathematics Subject Classification: 35K57, 35B35.

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