English

Fractional Laplacians and Nilpotent Lie Groups

Analysis of PDEs 2014-09-18 v1 Functional Analysis

Abstract

The aim of this short article is to generalize, with a slighthly different point of view, some new results concerning the fractional powers of the Laplace operator to the setting of Nilpotent Lie Groups and to study its relationship with the solutions of a partial differential equation in the spirit of the articles of Caffarelli & Silvestre and Stinga & Torrea.

Keywords

Cite

@article{arxiv.1409.5055,
  title  = {Fractional Laplacians and Nilpotent Lie Groups},
  author = {Diego Chamorro and Oscar Jarrin},
  journal= {arXiv preprint arXiv:1409.5055},
  year   = {2014}
}

Comments

10p

R2 v1 2026-06-22T05:59:02.344Z