Comparison principles for strongly coupled reaction-diffusion equations

DOI10.1017/S0308210500018357zbMath0633.35039MaRDI QIDQ3770914

Elías Tuma, Sleeman, Brian D.

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial valuesmajorizationsubsolutionsupersolutionComparison principlesFitzHugh-Nagumo equationsstrongly coupled systemreaction diffusionHomogeneous boundary conditionsNeurophysiology models

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (2)

Comparison principles for strongly coupled reaction diffusion equations in unbounded domains ⋮ Petrov-Galerkin methods for systems of nonlinear reaction-diffusion equations

Cites Work

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• Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances
• Stability properties of a model of parallel nerve fibers
• Small amplitude periodic waves for the FitzHugh-Nagumo equations
• Corrigendum

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