Positivity and strong ellipticity

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider second-order partial differential operators $H$ in divergence form on $\Ri^d$ with a positive-semidefinite, symmetric, matrix $C$ of real $L_\infty$-coefficients and establish that $H$ is strongly elliptic if and only if the associated semigroup kernel satisfies local lower bounds, or, if and only if the kernel satisfies Gaussian upper and lower bounds.
9 pages

Keywords

Analysis of PDEs

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/107551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601347
 http://arxiv.org/abs/math/0601347
 Proc. Amer. Math. Soc. 134 (2006), no. 3, 707-714

Collections

arXiv