| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017
Special functions and analysis of PDEs
|
|
|---|---|---|
| Page(s) | 114 - 118 | |
| DOI | https://doi.org/10.1051/mmnp/201712311 | |
| 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: suragan@math.kz
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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