Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature

DOI10.1007/s00028-011-0132-0zbMath1262.35039OpenAlexW2089211776MaRDI QIDQ692820

Matthieu Alfaro, Jérôme Droniou, Hiroshi Matano

Publication date: 6 December 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0132-0

zbMATH Keywords

location and thickness of the layers

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Viscosity solutions to PDEs (35D40)

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On the convergence rate of a reaction-diffusion equation with chemotaxis to a viscosity solution ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations

Cites Work

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• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

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