2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107774Asymptotic formulae for Green's kernels $G_ε({\bf x}, {\bf y})$ of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain domains with small singular perturbations of the boundary, as $ε\to 0$. The main new feature of these asymptotic formulae is their uniformity with respect to the independent variables ${\bf x}$ and ${\bf y}$.9 pagesAnalysis of PDEs35J05; 35J25text