Remark on Stability of Traveling Waves for Nonlocal Fisher-kpp Equations
نویسندگان
چکیده
t − n 2 . These convergent rates are optimal in the sense with L-initial perturbation. The adopted approach is the weighted energy method combining Fourier transform. It is also realized that, the effect of time-delay essentially causes the decay rate of the solution slowly down. These results significantly generalize and develop the existing study [37] for 1-D time-delayed Fisher-KPP type reaction-diffusion equations. When the time-delay τ vanishes, we automatically obtain the exponential stability for the noncritical planar traveling waves and the algebraic stability for the critical planar traveling waves to the regular Fisher-KPP equations.
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