Invertibility criteria for the biharmonic single-layer potential
Analysis of PDEs
2024-02-21 v3
Abstract
While the single-layer operator for the Laplacian is well understood, questions remain concerning the single-layer operator for the Bilaplacian, particularly with regard to invertibility issues linked with degenerate scales. In this article, we provide simple sufficient conditions ensuring this invertibility for a wide range of problems.
Cite
@article{arxiv.2307.03160,
title = {Invertibility criteria for the biharmonic single-layer potential},
author = {Alexandre Munnier},
journal= {arXiv preprint arXiv:2307.03160},
year = {2024}
}