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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.04959 |
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| _version_ | 1866908635695677440 |
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| author | Santiesteban, Daniel Alfonso Blaya, Ricardo Abreu Alpay, Daniel |
| author_facet | Santiesteban, Daniel Alfonso Blaya, Ricardo Abreu Alpay, Daniel |
| contents | This paper is devoted to study a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra language allows us to rewrite this system in terms of the Euclidean Dirac operator, which at the same time suggests a very natural generalization involving the so-called structural sets. Our interest lies mainly in the jump problem for these elastic systems. A generalized Teodorescu transform, to be introduced here, provides the means for obtaining the explicit solution of the jump problem for a very wide classes of regions, including those with a fractal boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04959 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jump problem for generalized Lamé-Navier systems in $\mathbb{R}^m$ Santiesteban, Daniel Alfonso Blaya, Ricardo Abreu Alpay, Daniel Analysis of PDEs 30G35 This paper is devoted to study a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra language allows us to rewrite this system in terms of the Euclidean Dirac operator, which at the same time suggests a very natural generalization involving the so-called structural sets. Our interest lies mainly in the jump problem for these elastic systems. A generalized Teodorescu transform, to be introduced here, provides the means for obtaining the explicit solution of the jump problem for a very wide classes of regions, including those with a fractal boundary. |
| title | Jump problem for generalized Lamé-Navier systems in $\mathbb{R}^m$ |
| topic | Analysis of PDEs 30G35 |
| url | https://arxiv.org/abs/2511.04959 |