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A Lyapunov-Schmidt method for transition layers in reaction-diffusion systems

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Publication:816238
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DOI10.32917/hmj/1150998273zbMath1093.35006OpenAlexW1915057131WikidataQ128866241 ScholiaQ128866241MaRDI QIDQ816238

Jack K. Hale, Kunimochi Sakamoto

Publication date: 9 March 2006

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1150998273

zbMATH Keywords

stabilityexistenceone space dimensionimplicit function theoremhomogeneous Neumann boundary conditionspropagator-controller typeSLEP method


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20)


Related Items

Nonsmooth regular perturbations of singularly perturbed problems, Use of very weak approximate boundary layer solutions to spatially nonsmooth singularly perturbed problems, Boundary layer solutions to singularly perturbed quasilinear systems



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