  Asymptotic formulae for Green's kernels $G_\epsilon({\bf x}, {\bf y})$ 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 $\epsilon \to 0$. The main new feature of
these asymptotic formulae is their uniformity with respect to the independent
variables ${\bf x}$ and ${\bf y}$.
