Title: Regularity results and parametrices of semi-linear boundary problems of product type,
Abstract: This short note describes the benefit one obtains from a specific
construction of a family of parametrices for a class of elliptic boundary value
problems perturbed by non-linear terms of product type. The construction is
based on the Boutet de Monvel calculus of pseudo-differential boundary
operators for the linear elliptic parts, and on paradifferential operators for
the product terms.