Asymptotic behaviour of solutions to one-dimensional reaction diffusion cooperative systems involving infinitesimal generators

  • 1 Research Center on Mathematical Modelling (MODEMAT) and Department of Mathematics, Escuela Politécnica Nacional, Ladrón de Guevara E11-253, Quito, Ecuador


The aim of this paper is to study the large-time behaviour of mild solutions to the one-dimensional cooperative systems with anomalous diffusion when at least one entry of the initial condition decays slower than a power. We prove that the solution moves at least exponentially fast as time goes to infinity. Moreover, the exponent of propagation depends on the decay of the initial condition and of the reaction term.

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JAA is devoted to applications of mathematical analysis, e.g. to economics, mathematical physics, mechanics and computer sciences. Topics include applications of mathematical analysis, differential equations, dynamical systems, optimization, optimal control, stochastic modeling and probability theory, numerical methods. The journal is jointly produced by the Institute of Mathematics of the Technical University of Lodz and De Gruyter.