Stability for stationary solutions of a nonlocal Allen-Cahn equation

DOI10.1016/j.jde.2020.11.024zbMath1464.34044OpenAlexW3107805213MaRDI QIDQ828308

Shoji Yotsutani, Tohru Tsujikawa, Tatsuki Mori, Yasuhito Miyamoto

Publication date: 8 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2020.11.024

zbMATH Keywords

stabilitybifurcationnonlocal termAllen-Cahn equation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

All global bifurcation diagrams of stationary solutions to a phase field model

Cites Work

• Global solution branches of two point boundary value problems
• Global solution branches for a nonlocal Allen-Cahn equation
• Instability of singularly perturbed Neumann layer solutions in reaction- diffusion systems
• Limiting classification on linearized eigenvalue problems for 1-dimensional Allen-Cahn equation. I. Asymptotic formulas of eigenvalues
• Secondary bifurcation for a nonlocal Allen-Cahn equation
• Exact Eigenvalues and Eigenfunctions Associated with Linearization for Chafee-Infante Problem
• Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†

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