Regularity results and parametrices of semi-linear boundary problems of product type
arXiv:1703.06094 · doi:10.1007/978-3-0348-8035-0_24
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.
7 pages. Conference proceeding in a preprint version. The final version was published by Springer in 2003