Stability of steady solutions of reaction-diffusion equations

DOI10.1016/0362-546X(86)90060-XzbMath0629.35059OpenAlexW1976665771MaRDI QIDQ3766184

F. A. Howes

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90060-x

zbMATH Keywords

stabilitysteady-state solutionsquasimonotonicitybarrier functionslayersDirichletsemilinearRobin typesingularly perturbed reaction diffusion system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Comparison and existence theorems for multicomponent diffusion systems
• Phase-plane solutions to some singular perturbation problems
• Stability of nonlinear parabolic systems
• Comparison theorems for nonlinear multicomponent diffusion systems
• Boundary and Corner Layer Behavior in Singularly Perturbed Semilinear Systems of Boundary Value Problems
• Pointwise Bounds for Strongly Coupled Time Dependent Systems of Reaction-Diffusion Equations
• Pattern Generation in Space and Aspect
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Decay to Uniform States in Ecological Interactions
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