For the mixed-diffusion Fisher-KPP equation, fronts spread at the exponential rate f'(0)/(N+2s) and no nonconstant traveling wave exists: the fractional Laplacian dictates the asymptotics.
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Propagation in the Fisher-KPP equation with Mixed Operator
For the mixed-diffusion Fisher-KPP equation, fronts spread at the exponential rate f'(0)/(N+2s) and no nonconstant traveling wave exists: the fractional Laplacian dictates the asymptotics.