English

One-dimensional degenerate diffusion operators

Functional Analysis 2013-02-14 v2 Analysis of PDEs

Abstract

The aim of this paper is to present some results about generation, sectoriality and gradient estimates both for the semigroup and for the resolvent of suitable realizations of the operators [\Ab u(x)=\gamma xu"(x) + b u'(x),] with constants γ>0\gamma >0 and b0b\geq 0, in the space C([0,])C([0,\infty])

Keywords

Cite

@article{arxiv.1301.5447,
  title  = {One-dimensional degenerate diffusion operators},
  author = {Angela A. Albanese and Elisabetta M. Mangino},
  journal= {arXiv preprint arXiv:1301.5447},
  year   = {2013}
}
R2 v1 2026-06-21T23:14:02.460Z