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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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2 papers · 1 filter

math.SP2015★ 15 cited

Maximising Neumann eigenvalues on rectangles

Michiel van den Berg, Dorin Bucur, Katie Gittins

We obtain results for the spectral optimisation of Neumann eigenvalues on rectangles in with a measure or perimeter constraint. We show that the rectangle with measu…

math.AP2015★ 9 cited

On the heat content of a polygon

Michiel van den Berg, Katie Gittins

Let be a bounded, connected, open set in Euclidean space with polygonal boundary. Suppose has initial temperature and the complement of has initial…