Large amplitude solutions of spatially non-homogeneous non-local reaction diffusion equations
نویسندگان
چکیده
منابع مشابه
Layers and Spikes in Non-homogeneous Bistable Reaction-diffusion Equations
We study ε2ü = f(u, x) = Au (1−u) (φ−u), where A = A(u, x) > 0, φ = φ(x) ∈ (0, 1), and ε > 0 is sufficiently small, on an interval [0, L] with boundary conditions u̇ = 0 at x = 0, L. All solutions with an ε independent number of oscillations are analyzed. Existence of complicated patterns of layers and spikes is proved, and their Morse index is determined. It is observed that the results extend ...
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ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2000
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2000.v7.n2.a3