Elliptic operators with unbounded diffusion coefficients in Lp spaces
Analysis of PDEs
2010-09-09 v1
Abstract
In this paper we prove that, under suitable assumptions on {\alpha} > 0, the operator L = (1 + |x|{\alpha})\Delta admits realizations generating contraction or analytic semigroups in Lp (RN). For some values of {\alpha}, we also explicitly characterize the domain of L. Finally, some informations about the location and composition of the spectrum are given.
Cite
@article{arxiv.1009.1489,
title = {Elliptic operators with unbounded diffusion coefficients in Lp spaces},
author = {Giorgio Metafune and Chiara Spina},
journal= {arXiv preprint arXiv:1009.1489},
year = {2010}
}