English

On fractional Laplacians -- 2

Analysis of PDEs 2015-05-26 v2

Abstract

The present paper is the natural evolution of arXiv:1308.3606. For s>1s>-1 we compare two natural types of fractional Laplacians (Δ)s(-\Delta)^s, namely, the "Navier" and the "Dirichlet" ones. As a main tool, we give the "dual" Caffarelli--Silvestre and Stinga--Torrea variational characterizations of these operators for s(1,0)s\in(-1,0).

Cite

@article{arxiv.1408.3568,
  title  = {On fractional Laplacians -- 2},
  author = {Roberta Musina and Alexander I. Nazarov},
  journal= {arXiv preprint arXiv:1408.3568},
  year   = {2015}
}

Comments

9 pages; some references are added; a small generalization is given

R2 v1 2026-06-22T05:30:09.016Z