Invertibility criteria for the biharmonic single-layer potential

DOI10.1007/s00020-024-02758-7arXiv2307.03160OpenAlexW4392173397MaRDI QIDQ6123376

Alexandre Munnier

Publication date: 4 March 2024

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.03160

zbMATH Keywords

biharmonic equationdegenerate scalesbiharmonic single-layer potential

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

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• Trace theorems for Sobolev spaces on Lipschitz domains. Necessary conditions
• Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Invertibility of the biharmonic single layer potential operator
• Regularized solutions with a singular point for the inverse biharmonic boundary value problem by the method of fundamental solutions
• On the explicit representation of the trace space \(H^{\frac{3}{2}}\) and of the solutions to biharmonic Dirichlet problems on Lipschitz domains via multi-parameter Steklov problems
• Degenerate scales for thin elastic plates with Dirichlet boundary conditions
• On Trace Theorems for Sobolev Spaces

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