TY - JOUR
T1 - Isoperimetric inequalities for the heat potential operator
AU - Kal’menov, Tynysbek Sh
AU - Kassymov, Aidyn
AU - Suragan, Durvudkhan
N1 - Funding Information:
This paper was published under project AP05130981, AP05133239 and target program BR05236656 of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan. The third author was partially supported by NU SPG grant “Spectral geometric inequalities in PDE”. The authors also thank all the active participant of the Third International Conference on Analysis and Applied Mathematics - ICAAM 2016 (September 7-10, 2016, Almaty, Kazakhstan) for a useful discussion of the results.
Funding Information:
2010 Mathematics Subject Classification. Primary 47G40; Secondary 47A30, 58J50 Keywords. Heat potential operator, s-number, Rayleigh-Faber-Krahn inequality, Hong-Krahn-Szegö inequality, Schatten p-norm Received: 26 December 2016; Revised: 27 March 2017; Accepted: 19 April 2017 Communicated by Allaberen Ashyralyev This paper was published under project AP05130981, AP05133239 and target program BR05236656 of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan. The third author was partially supported by NU SPG grant ”Spectral geometric inequalities in PDE”. Email addresses: [email protected] (Tynysbek Sh. Kal’menov), [email protected] (Aidyn Kassymov), [email protected] (Durvudkhan Suragan)
Publisher Copyright:
© 2018, University of Nis. All rights reserved.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In this paper we prove that the circular cylinder is a maximizer of the Schatten p-norm of heat potential operator among all Euclidean cylindric domains of a given measure. We also give analogues of a Rayleigh-Faber-Krahn and a Hong-Krahn-Szegö type inequalities.
AB - In this paper we prove that the circular cylinder is a maximizer of the Schatten p-norm of heat potential operator among all Euclidean cylindric domains of a given measure. We also give analogues of a Rayleigh-Faber-Krahn and a Hong-Krahn-Szegö type inequalities.
KW - Heat potential operator
KW - Hong-Krahn-Szegö inequality
KW - Rayleigh-Faber-Krahn inequality
KW - S-number
KW - Schatten p-norm
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U2 - 10.2298/FIL1803903K
DO - 10.2298/FIL1803903K
M3 - Article
AN - SCOPUS:85048017767
SN - 0354-5180
VL - 32
SP - 903
EP - 910
JO - Filomat
JF - Filomat
IS - 3
ER -