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• W1963527679 abstract "It is shown for a large class of reaction-diffusion systems with Neumann boundary conditions that in the presence of a separable Lyapunov structure, the existence of an a priori $L^r$ estimate, uniform in time, for some $r>0$, implies the $L^infty$-uniform stability of steady states. The results are applied to a general class of Lotka--Volterra systems and are seen to provide a partial answer to the global existence question for a large class of balanced systems with nonlinearities that are not bounded by any polynomial." @default.
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• W1963527679 date "1997-05-01" @default.
• W1963527679 modified "2023-09-25" @default.
• W1963527679 title "Stability and Lyapunov Functions for Reaction-Diffusion Systems" @default.
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• W1963527679 doi "https://doi.org/10.1137/s0036141094272241" @default.
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