Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds
Functional Analysis
2018-06-20 v2 Analysis of PDEs
Abstract
We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the choice of (smooth) coordinates, we prove that nonsmooth Green operators are invariant under smooth coordinate transformations.
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Cite
@article{arxiv.1709.04157,
title = {Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds},
author = {Helmut Abels and Carolina Neira Jiménez},
journal= {arXiv preprint arXiv:1709.04157},
year = {2018}
}
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32 pages