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Double logarithmic inequality with a sharp constant
Author(s):
S.
Ibrahim;
M.
Majdoub;
N.
Masmoudi
Journal:
Proc. Amer. Math. Soc.
135
(2007),
87-97.
MSC (2000):
Primary 49K20, 35L70
Posted:
June 13, 2006
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Additional information
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.
References:
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Additional Information:
S.
Ibrahim
Affiliation:
Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4L8
Email:
ibrahims@math.mcmaster.ca
M.
Majdoub
Affiliation:
Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire 1060, Tunis, Tunisia
Email:
mohamed.majdoub@fst.rnu.tn
N.
Masmoudi
Affiliation:
Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, New York 10012
Email:
masmoudi@cims.nyu.edu
DOI:
10.1090/S0002-9939-06-08240-2
PII:
S 0002-9939(06)08240-2
Received by editor(s):
January 9, 2005
Received by editor(s) in revised form:
July 13, 2005
Posted:
June 13, 2006
Communicated by:
Christopher D. Sogge
Copyright of article:
Copyright
2006,
American Mathematical Society
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