Boundary layers in a semilinear parabolic problem

DOI10.2748/tmj/1178224771zbMath0954.35086OpenAlexW2068426551MaRDI QIDQ1961359

Domingo Salazar, Jack K. Hale

Publication date: 1 February 2001

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224771

zbMATH Keywords

eigenvalues and eigenfunctionsstability of stationary solutionsboundary layers versus internal layersspace-dependent reaction terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)

Related Items

Use of very weak approximate boundary layer solutions to spatially nonsmooth singularly perturbed problems, Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations, Layers and spikes in non-homogeneous bistable reaction-diffusion equations, Boundary layer solutions to singularly perturbed quasilinear systems, A shooting approach to layers and chaos in a forced Duffing equation

Cites Work

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• Boundary and interior layer behavior of solutions of some singularly perturbed semilinear elliptic boundary value problems
• Examples of attractors in scalar reaction-diffusion equations
• Phase-plane solutions to some singular perturbation problems
• Dichotomies in stability theory
• A remark on singular perturbation methods via the Lyapunov-Schmidt reduction
• Existence and stability of transition layers
• Attractors of Some Reaction Diffusion Problems