Spreading speeds for one-dimensional monostable reaction-diffusion equations
نویسندگان
چکیده
منابع مشابه
Spreading speeds for one-dimensional monostable reaction-diffusion equations
We establish in this article spreading properties for the solutions of equations of the type ∂tu − a(x)∂xxu − q(x)∂xu = f(x, u), where a, q, f are only assumed to be uniformly continuous and bounded in x, the nonlinearity f is of monostable KPP type between two steady states 0 and 1 and the initial datum is compactly supported. Using homogenization techniques, we construct two speeds w ≤ w such...
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This paper is concerned with the study of the large-time behaviour of the solutions u of a class of one-dimensional reaction-diffusion equations with monostable reaction terms f , including in particular the classical Fisher-KPP nonlinearities. The nonnegative initial data u0(x) are chiefly assumed to be exponentially bounded as x tends to +∞ and separated away from the unstable steady state 0 ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2012
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4764932