Eliminating indeterminacy for localized solutions to reaction-diffusion equations in multidimensional domains

DOI10.1016/0893-9659(96)00093-6zbMath0866.35052OpenAlexW2034174399MaRDI QIDQ1352365

Michael J. Ward

Publication date: 24 July 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(96)00093-6

zbMATH Keywords

metastabilitybubble solutionssmall diffusionexponentially ill-conditioned localized solutionsspike-layers

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)

Cites Work

• Unnamed Item
• Locating the peaks of least-energy solutions to a semilinear Neumann problem
• Slow dynamics for the Cahn-Hilliard equation in higher space dimensions: The motion of bubbles
• On Spurious Solutions of Singular Perturbation Problems
• A Variational Approach to Nonlinear Singularly Perturbed Boundary-Value Problems
• Nonlocal reaction—diffusion equations and nucleation
• Eliminating Indeterminacy in Singularly Perturbed Boundary Value Problems with Translation Invariant Potentials
• Slow dynamics for the cahn-hilliard equation in higher space dimension part i: spectral estimates^∗
• Metastable Bubble Solutions for the Allen-Cahn Equation with Mass Conservation
• On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems

This page was built for publication: Eliminating indeterminacy for localized solutions to reaction-diffusion equations in multidimensional domains