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Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization

Minimum wave speeds in monostable reaction–diffusion equations: sharp bounds by polynomial optimization

Many monostable reaction-diffusion equations admit one-dimensional travelling waves if and only if the wave speed is sufficiently high. The values of these minimum wave speeds are not known exactly, except in a few simple cases. We present methods for finding upper and lower bounds on minimum wave speed. They rely …