Existence and Non-Existence of Fisher-KPP Transition Fronts
نویسندگان
چکیده
منابع مشابه
Existence and Non-existence of Fisher-KPP Transition Fronts
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous reaction rates. We show that a sufficiently strong localized inhomogeneity may prevent existence of transition-front-type global in time solutions while creating a global in time bump-like solution. This is the first example of a medium in which no reaction-diffusion transition front exists. A weaker localized...
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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: Archive for Rational Mechanics and Analysis
سال: 2011
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-011-0449-4