Dragoni, Federica  ORCID: https://orcid.org/0000-0001-6076-9725, Garofalo, N., Giovannardi, G. and Salani, P.
2024.
A fundamental solution for a subelliptic operator in finsler geometry.
[Online].
arXiv:
Cornell University.
Available at: https://doi.org/10.48550/arXiv.2401.06736
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Official URL: https://doi.org/10.48550/arXiv.2401.06736
Abstract
We introduce a class of nonlinear partial differential equations in a product space which are at the interface of Finsler and sub-Riemannian geometry. To such equations we associate a non-isotropic Minkowski gauge Θ for which we introduce a suitable notion of Legendre transform Θ . We compute the action of the relevant nonlinear PDEs on “radial” functions, i.e., functions of Θ0, and by exploiting it we are able to compute explicit fundamental solutions of such PDEs.
| Item Type: | Website Content |
|---|---|
| Date Type: | Publication |
| Status: | Submitted |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Cornell University |
| ISSN: | 0022-2518 |
| Date of First Compliant Deposit: | 1 December 2024 |
| Last Modified: | 17 Dec 2024 14:51 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/174416 |
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