Hardy inequalities in strips on ruled surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider the Dirichlet Laplacian in infinite two-dimensional strips defined as uniform tubular neighbourhoods of curves on ruled surfaces. We show that the negative Gauss curvature of the ambient surface gives rise to a Hardy inequality and use this to prove certain stability of spectrum in the case of asymptotically straight strips about mildly perturbed geodesics.
LaTeX, 10 pages; to appear in Journal of Inequalities and Applications

Keywords

Spectral Theory, Mathematical Physics, Differential Geometry, 58J50; 35P99; 81Q10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/124812

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511257
 http://arxiv.org/abs/math/0511257
 J. Inequal. Appl. 2006 (2006), Article ID 46409, 10 pages.

Collections

arXiv