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Reaction-diffusion systems and vector Lyapunov functions. (English) Zbl 0727.35069
The author investigates stability properties of weakly coupled reaction- diffusion systems by means of vector Lyapunov functions and shows that this effective approach is also a natural setting for the discussion of such systems. The idea of proof is based on that of F. A. Howes and S. Whitaker [Nonlinear Anal., Theory Methods Appl. 12, No.12, 1451- 1459 (1988; Zbl 0712.35012)].

MSC:
35K57 Reaction-diffusion equations
35B35 Stability in context of PDEs
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