The stability of the equilibria of the Allen–Cahn equation with fractional diffusion

DOI10.1080/00036811.2017.1399360zbMath1407.35124OpenAlexW2767276902MaRDI QIDQ4622823

Hongmei Cheng, Rong Yuan

Publication date: 18 February 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1399360

zbMATH Keywords

stabilityAllen-Cahn equationfractional diffusionthe comparison principle

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Traveling wave solutions (35C07) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Fractional partial differential equations (35R11)

Related Items (7)

Multiple solutions for a class of boundary value problems of fractional differential equations with generalized Caputo derivatives ⋮ Global existence and blow-up of solutions to a parabolic nonlocal equation arising in a theory of thermal explosion ⋮ Fast‐time complete controllability of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter ⋮ Existence of multiple solutions for second-order problem with Stieltjes integral boundary condition ⋮ Multiple positive solutions for a class of boundary value problem of fractional \((p, q)\)-difference equations under \((p, q)\)-integral boundary conditions ⋮ Controllability of nonlinear fractional evolution systems in Banach spaces: a survey ⋮ The stability of traveling waves for Allen–Cahn equations with fractional Laplacian

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