Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017Special functions and analysis of PDEs
|Page(s)||114 - 118|
|Published online||31 May 2017|
On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., 050010 Almaty, Kazakhstan
* Corresponding author. E-mail: firstname.lastname@example.org
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.
Mathematics Subject Classification: 35P05 / 58J50
Key words: heat operator / s-number / isoperimetric inequality
© EDP Sciences, 2017
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