On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

A. Kassymov; M. Sadybekov; D. Suragan

doi:10.1051/mmnp/201712311

On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

A. Kassymov, M. Sadybekov, D. Suragan

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	114-118
Number of pages	5
Journal	Mathematical Modelling of Natural Phenomena
Volume	12
Issue number	3
DOIs	https://doi.org/10.1051/mmnp/201712311
Publication status	Published - Jan 1 2017
Externally published	Yes

Keywords

Heat operator
Isoperimetric inequality
S-number

ASJC Scopus subject areas

Modelling and Simulation

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10.1051/mmnp/201712311

Cite this

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N2 - 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.

AB - 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.

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KW - Isoperimetric inequality

KW - S-number

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On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

Abstract

Keywords

ASJC Scopus subject areas

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