A fundamental solution for a subelliptic operator in finsler geometry

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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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:	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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