We study entire solutions to homogeneous reactiondiffusion equations in several dimensions with Fisher-KPP reactions. Any entire solution 0 < u < 1 is known to satisfyand we consider here those satisfyingWhen f is C 2 and concave, our main result provides an almost complete characterization of transition fronts as well as transition solutions with bounded width within this class of solutions.(AA, ZH, JL)
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