Maghnouji, Abderrahman; Nicaise, Serge Boundary layers for transmission problems with singularities. (English) Zbl 1166.35323 Electron. J. Differ. Equ. 2006, Paper No. 14, 16 p. (2006). Summary: We study two-dimensional transmission problems for the Laplace operator for two diffusion coefficients. We describe the boundary layers of this problem and show that the layers appear only in the part where the coefficient is large. The relationship with the singularities of the limit problem is also described. Cited in 3 Documents MSC: 35J25 Boundary value problems for second-order elliptic equations 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35B25 Singular perturbations in context of PDEs Keywords:Transmission problems; boundary layers; singularities PDFBibTeX XMLCite \textit{A. Maghnouji} and \textit{S. Nicaise}, Electron. J. Differ. Equ. 2006, Paper No. 14, 16 p. (2006; Zbl 1166.35323) Full Text: EuDML EMIS Link