Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations

DOI10.1016/j.jde.2008.01.017zbMath1165.34033OpenAlexW1996825654WikidataQ58160746 ScholiaQ58160746MaRDI QIDQ959841

Lutz Recke, O. E. Omel'chenko

Publication date: 12 December 2008

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

Full work available at URL: http://edoc.hu-berlin.de/18452/3430

zbMATH Keywords

singular perturbationasymptotic approximationboundary layerimplicit function theoremspace depending small diffusion coefficient

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15)

Related Items

Hopf bifurcation for general 1D semilinear wave equations with delay, Traveling chimera states, Nonsmooth regular perturbations of singularly perturbed problems, Hopf bifurcation for semilinear dissipative hyperbolic systems, Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs, Use of very weak approximate boundary layer solutions to spatially nonsmooth singularly perturbed problems, Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid, Time-periodic boundary layer solutions to singularly perturbed parabolic problems, Boundary layer solutions to singularly perturbed quasilinear systems

Cites Work

• Boundary and interior transition layer phenomena for pairs of second- order differential equations
• Boundary layers in a semilinear parabolic problem
• Nonlinear singular perturbation phenomena: theory and applications
• Implicit function theorems and nonlinear integral equations
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
• The implicit function theorem and multi-bump solutions of periodic partial differential equations
• Unnamed Item