Transition Layers for a Bistable Reaction-Diffusion Equation with Variable Diffusion
Author:
Affiliation:
1. Waseda University Senior High School
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Link
http://www.jstage.jst.go.jp/article/fesi/53/1/53_1_21/_pdf
Reference12 articles.
1. [1] Ai, S., Chen, X. and Hastings, S. P., Layers and spikes in non-homogeneous bistable reaction-diffusion equations, Trans. Amer. Math. Soc., 358 (2006), 3169-3206.
2. [2] Angenent, S. B., Mallet-Paret, J. and Peletier, L. A., Stable transition layers in a semilinear boundary value problem, J. Differential Equations, 67 (1987), 212-242.
3. [3] Chipot, M. and Hale, J. K., Stable equilibria with variable diffusion. Nonlinear partial differential equations, Contemp. Math., 17 (1982), 209-213.
4. A bifurcation problem for a nonlinear partial differential equation of parabolic type†
5. [5] Hale, J. K. and Sakamoto, K., Existence and stability of transition layers, Japan J. Appl. Math., 5 (1988), 367-405.
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