Asymptotic stability of solutions of singularly perturbed boundary value problems with boundary and internal layers

DOI10.1007/BF02754208zbMath0982.35012MaRDI QIDQ5926557

I. V. Nedel'ko, V. F. Butuzov

Publication date: 8 April 2002

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

influence domainsstep-like contrast structuresupper and lower solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• Semilinear elliptic boundary value problems with small parameters
• Stable transition layers in a semilinear boundary value problem
• Geometric theory of semilinear parabolic equations
• Asymptotic of a solution of contrast-structure type
• Existence and stability of transition layers
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
• Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations
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