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Spreading Properties and Complex Dynamics for Monostable Reaction–Diffusion Equations

Spreading Properties and Complex Dynamics for Monostable Reaction–Diffusion Equations

This paper is concerned with the study of the large-time behavior of the solutions u of a class of one-dimensional reaction–diffusion equations with monostable reaction terms f, including in particular the classical Fisher-KPP nonlinearities. The nonnegative initial data u 0(x) are chiefly assumed to be exponentially bounded as x tends …