Enviar artigo por via de e-mail Elements of Potential Theory on Carnot Groups
- Autores: Ruzhansky M.V.1, Suragan D.1,2
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Afiliações:
- Imperial College
- Institute of Mathematics and Mathematical Modelling
- Edição: Volume 52, Nº 2 (2018)
- Páginas: 158-161
- Seção: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234483
- DOI: https://doi.org/10.1007/s10688-018-0224-5
- ID: 234483
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Resumo
We propose and study elements of potential theory for the sub-Laplacian on homogeneous Carnot groups. In particular, we show the continuity of the single-layer potential and establish Plemelj-type jump relations for the double-layer potential. As a consequence, we derive a formula for the trace on smooth surfaces of the Newton potential for the sub-Laplacian. Using this, we construct a sub-Laplacian version of Kac’s boundary value problem.
Sobre autores
M. Ruzhansky
Imperial College
Autor responsável pela correspondência
Email: m.ruzhansky@imperial.ac.uk
Reino Unido da Grã-Bretanha e Irlanda do Norte, London
D. Suragan
Imperial College; Institute of Mathematics and Mathematical Modelling
Email: m.ruzhansky@imperial.ac.uk
Reino Unido da Grã-Bretanha e Irlanda do Norte, London; Almaty
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