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Infinite transition solutions for a class of Allen–Cahn model equations

✍ Scribed by Paul H. Rabinowitz; Ed Stredulinsky


Book ID
107508506
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
287 KB
Volume
4
Category
Article
ISSN
1661-7738

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📜 SIMILAR VOLUMES


Multi-layered stationary solutions for a
✍ K. Nakashima 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 453 KB

We consider stationary solutions of a spatially inhomogeneous Allen-Cahn type nonlinear diffusion equation in one space dimension. The equation involves a small parameter \(\epsilon\), and its nonlinearity has the form \(h(x)^{2} f(u)\), where \(h(x)\) represents the spatial inhomogeneity and \(f(u)