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arXiv · 1703.06094

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

Jon Johnsen
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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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Jon Johnsen. 2017-03-17. Regularity results and parametrices of semi-linear boundary problems of product type. https://doi.org/10.1007/978-3-0348-8035-0_24

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