Transition layers for an inhomogeneous Allen-Cahn equation in Riemannian manifolds

DOI10.3934/dcds.2013.33.1407zbMath1266.58007OpenAlexW2324721139MaRDI QIDQ1948754

Zhuoran Du, Baishun Lai

Publication date: 24 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1407

zbMATH Keywords

approximationRiemannian manifoldstransition layersinhomogeneous Allen-Cahn equationinfinite-dimensional reduction

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (6)

Interior interfaces with (or without) boundary intersection for an anisotropic Allen-Cahn equation ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds ⋮ Layered solutions for a fractional inhomogeneous Allen-Cahn equation ⋮ Catenoidal layers for the Allen-Cahn equation in bounded domains ⋮ Recent progresses in boundary layer theory

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