Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations
نویسندگان
چکیده
منابع مشابه
Power-like delay in time inhomogeneous Fisher-KPP equations
We consider solutions of the KPP equation with a time-dependent diffusivity of the form σ(t/T ). For an initial condition that is compactly supported, we show that when σ(s) is increasing in time the front position at time T is X(T ) = c∗T − ν̄T +O(log T ). That is, X(T ) lags behind the linear front by an amount that is algebraic in T , not by the Bramson correction (3/2) log T as in the unifor...
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We use a new method in the study of Fisher-KPP reaction-diffusion equations to prove existence of transition fronts for inhomogeneous KPP-type non-linearities in one spatial dimension. We also obtain new estimates on entire solutions of some KPP reactiondiffusion equations in several spatial dimensions. Our method is based on the construction of suband super-solutions to the non-linear PDE from...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2014
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605302.2014.972744