Stability of localized structures in non-local reaction-diffusion equations
نویسندگان
چکیده
منابع مشابه
Stability of Localized Structures in Non-local Reaction-diffusion Equations
The stability of non-homogeneous, steady state solutions of a scalar, non-local reaction-diffusion equation is considered. Sufficient conditions are provided that guarantee that the relevant linear operator possesses a countable infinity of discrete eigenvalues. These eigenvalues are shown to interlace the eigenvalues of a related local Sturm-Liouville operator. An oscillation theorem for the c...
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Many classes of singularly perturbed reaction-diiusion equations possess localized solutions where the gradient of the solution is large only in the vicinity of certain points or interfaces in the domain. The problems of this type that are considered are an interface propagation model from materials science and an activator-inhibitor model of morphogenesis. These two models are formulated as no...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 1998
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.1998.v5.n4.a2