Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

The HELP inequality on trees

Brown, B. Malcolm and Langer, Matthias and Schmidt, Karl Michael (2008) The HELP inequality on trees. In: Analysis on graphs and its applications. Proceedings of Symposia in Pure Mathematics, 77 . American Mathematical Society, pp. 337-354. ISBN 0821844717

[img]
Preview
PDF (brown_langer_schmidt08redact.pdf)
brown_langer_schmidt08redact.pdf

Download (252kB) | Preview

Abstract

We establish analogues of Hardy and Littlewood's integro-differential equation for Schrödinger-type operators on metric and discrete trees, based on a generalised strong limit-point property of the graph Laplacian.