A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain

DOI10.1016/J.JDE.2009.08.020zbMath1184.35022OpenAlexW2001732794MaRDI QIDQ1046482

R. Bruce Kellogg, Natalia Kopteva

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.08.020

zbMATH Keywords

asymptotic expansionDirichlet boundary conditionboundary and corner layer functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Semilinear elliptic equations (35J61)

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Cites Work

• Semilinear elliptic boundary value problems with small parameters
• Numerical analysis of a singularly perturbed nonlinear reaction-diffusion problem with multiple solutions
• Linear and quasilinear elliptic equations
• Maximum norm error analysis of a 2d singularly perturbed semilinear reaction-diffusion problem
• Semilinear elliptic problems on domains with corners
• Nonlinear elliptic boundary-value problems in unbounded domains
• Boundary-interior layer interactions in nonlinear singular perturbation theory
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