K. Gittins

activity

20112025

most citedUniform bounds for the heat content of open sets in Euclidean space

21 citations · 67 across the 20 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.SP2017

Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space

Bruno Colbois, Alexandre Girouard, Katie Gittins

We obtain upper and lower bounds for Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. A very general upper bound is proved, which depends only on th…

math.SP2017★ 2 cited

Asymptotic behaviour of cuboids optimising Laplacian eigenvalues

Katie Gittins, Simon Larson

We prove that in dimension $n \geq 2$ , within the collection of unit measure cuboids in $R^{n}$ (i.e. domains of the form $\prod_{i = 1}^{n} (0, a_{n})$ ), any sequence of minimis…