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A two end family of solutions for the inhomogeneous Allen–Cahn equation in

✍ Scribed by Zúñiga, Andrés; Agudelo, Oscar

Book ID
123053452
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
939 KB
Volume
256
Category
Article
ISSN
0022-0396

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Multi-layered stationary solutions for a
Multi-layered stationary solutions for a spatially inhomogeneous Allen-Cahn equation
✍ 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)