The Freidlin-Gärtner formula for general reaction terms
نویسنده
چکیده
We devise a new geometric approach to study the propagation of disturbance compactly supported data in reaction-diffusion equations. The method builds a bridge between the propagation of disturbance and of almost planar solutions. It applies to very general reaction-diffusion equations. The main consequences we derive in this paper are: a new proof of the classical Freidlin-Gärtner formula for the asymptotic speed of spreading for periodic Fisher-KPP equations; extension of the formula to the monostable, combustion and bistable cases; existence of the asymptotic speed of spreading for equations with almost periodic temporal dependence; derivation of multi-tiered propagation for multistable equations.
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