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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.