Isoperimetric inequalities for the heat potential operator

Tynysbek Sh Kal’menov, Aidyn Kassymov, Durvudkhan Suragan

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)903-910
Number of pages8
JournalFilomat
Volume32
Issue number3
DOIs
Publication statusPublished - Jan 1 2018

Keywords

  • Heat potential operator
  • Hong-Krahn-Szegö inequality
  • Rayleigh-Faber-Krahn inequality
  • S-number
  • Schatten p-norm

ASJC Scopus subject areas

  • Mathematics(all)

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