D. W. Robinson

activity

19962021

most citedDegenerate elliptic operators: capacity, flux and separation

12 citations · 50 across the 28 of their papers we have counts for

collaborators

30 papers

math.AP2021★ 1 cited

The weighted Hardy constant

Derek W. Robinson

Let $Ω$ be a domain in $R^{d}$ and $d_{Γ}$ the Euclidean distance to the boundary $Γ$ . We investigate whether the weighted Hardy inequality \[ \|d_Γ^{δ/2-1}φ\|_2\leq a_δ\,\|d_Γ^{δ/2}\,…

math.FA2020

The weighted Hardy inequality and self-adjointness of symmetric diffusion operators

Derek W. Robinson

Let $Ω$ be a domain in $\Ri^d$ with boundary $Γ$ $,$ $d_{Γ}$ the Euclidean distance to the boundary and $H=-\divv(C\,\nabla)$ an elliptic operator with $C = (c_{k l}) > 0$ where $c…

math.FA2019

In the beginning: Langlands' doctoral thesis

Derek W Robinson

This is a draft version of an invited article for a forthcoming book `The genesis of Langlands Program', eds. Julia Mueller and Freydoon Shahidi, which will be published in the Lon…

math.FA2019

On self-adjointness of symmetric diffusion operators

Derek W Robinson

Let $Ω$ be a domain in $\Ri^d$ with boundary $Γ$ and let $d_{Γ}$ denote the Euclidean distance to $Γ$ . Further let $H=-\divv(C\nabla)$ where $C = (c_{k l}) > 0$ with $c_{k l} = c_{l k}$ a…

math.AP2017★ 5 cited

Hardy and Rellich inequalities on the complement of convex sets

Derek W. Robinson

We establish existence of weighted Hardy and Rellich inequalities on the spaces $L_{p} (Ω)$ where $Ω= \Ri^d\backslash K$ with $K$ a closed convex subset of $\Ri^d$. Let $Γ = \partial Ω$ …

math.AP2017★ 1 cited

Hardy inequalities, Rellich inequalities and local Dirichlet forms

Derek W. Robinson

First the Hardy and Rellich inequalities are defined for the submarkovian operator associated with a local Dirichlet form. Secondly, two general conditions are derived which are su…