Invertibility criteria for the biharmonic single-layer potential

Alexandre Munnier

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arXiv · 2307.03160

Invertibility criteria for the biharmonic single-layer potential

Alexandre Munnier

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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.

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Alexandre Munnier. 2023-07-06. Invertibility criteria for the biharmonic single-layer potential. https://arxiv.org/abs/2307.03160

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