On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

2017

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DOI 10.1051/mmnp/201712311
Data confidence 85 high
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Abstract

In this paper we prove that the first s-number of the Cauchy-Robin heat operator is minimized in a circular cylinder among all Euclidean cylindric Lipschitz domains of a given measure and the second s-number is minimized in the disjoint union of two identical circular cylinders among all cylindric Lipschitz domains of the same measure.