On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator
Aidyn Kassymov, Makhmud Abdysametovich Sadybekov, Durvudkhan Suragan · Mathematical Modelling of Natural Phenomena · 2017
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.