We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP-type, depending on time t and admitting two limits as t -> +/-infinity. We derive the set of admissible asymptotic past and future speeds of transition fronts for such an equation. We further show that any transition front which is noncritical as t -> -infinity always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the noncritical fronts as t -> +/-infinity.

Admissible speeds of transition fronts for nonautonomous monostable equations

ROSSI, LUCA
2015

Abstract

We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP-type, depending on time t and admitting two limits as t -> +/-infinity. We derive the set of admissible asymptotic past and future speeds of transition fronts for such an equation. We further show that any transition front which is noncritical as t -> -infinity always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the noncritical fronts as t -> +/-infinity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3174455
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