Double logarithmic inequality with a sharp constant

S. Ibrahim, M. Majdoub, N. Masmoudi

Research output: Contribution to journalArticle

Abstract

We prove a Log Log inequality with a sharp constant. We also show that the constant in the Log estimate is "almost" sharp. These estimates are applied to prove a Moser-Trudinger type inequality for solutions of a 2D wave equation.

Original languageEnglish (US)
Pages (from-to)87-97
Number of pages11
JournalProceedings of the American Mathematical Society
Volume135
Issue number1
DOIs
StatePublished - Jan 2007

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Sharp Constants
Wave equations
Logarithmic
Estimate
Wave equation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Double logarithmic inequality with a sharp constant. / Ibrahim, S.; Majdoub, M.; Masmoudi, N.

In: Proceedings of the American Mathematical Society, Vol. 135, No. 1, 01.2007, p. 87-97.

Research output: Contribution to journalArticle

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