English

Regularity results and parametrices of semi-linear boundary problems of product type

Analysis of PDEs 2017-03-20 v1

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.

Keywords

Cite

@article{arxiv.1703.06094,
  title  = {Regularity results and parametrices of semi-linear boundary problems of product type},
  author = {Jon Johnsen},
  journal= {arXiv preprint arXiv:1703.06094},
  year   = {2017}
}

Comments

7 pages. Conference proceeding in a preprint version. The final version was published by Springer in 2003