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.
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