On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

A. Kassymov, M. Sadybekov, D. Suragan

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)114-118
Number of pages5
JournalMathematical Modelling of Natural Phenomena
Volume12
Issue number3
DOIs
Publication statusPublished - Jan 1 2017
Externally publishedYes

Fingerprint

Lipschitz Domains
Isoperimetric Inequality
Circular Cylinder
Circular cylinders
Cauchy
Heat
Operator
Euclidean
Disjoint
Union
Hot Temperature

Keywords

  • Heat operator
  • Isoperimetric inequality
  • S-number

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator. / Kassymov, A.; Sadybekov, M.; Suragan, D.

In: Mathematical Modelling of Natural Phenomena, Vol. 12, No. 3, 01.01.2017, p. 114-118.

Research output: Contribution to journalArticle

@article{82d20f7a049f420082a185d07e5eb293,
title = "On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator",
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.",
keywords = "Heat operator, Isoperimetric inequality, S-number",
author = "A. Kassymov and M. Sadybekov and D. Suragan",
year = "2017",
month = "1",
day = "1",
doi = "10.1051/mmnp/201712311",
language = "English",
volume = "12",
pages = "114--118",
journal = "Mathematical Modelling of Natural Phenomena",
issn = "0973-5348",
publisher = "EDP Sciences",
number = "3",

}

TY - JOUR

T1 - On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator

AU - Kassymov, A.

AU - Sadybekov, M.

AU - Suragan, D.

PY - 2017/1/1

Y1 - 2017/1/1

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.

KW - Heat operator

KW - Isoperimetric inequality

KW - S-number

UR - http://www.scopus.com/inward/record.url?scp=85020195209&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85020195209&partnerID=8YFLogxK

U2 - 10.1051/mmnp/201712311

DO - 10.1051/mmnp/201712311

M3 - Article

VL - 12

SP - 114

EP - 118

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

SN - 0973-5348

IS - 3

ER -