Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

Authors :: Carlen, Eric A.
Carrillo, Jose A.
Loss, Michael
Source :: Proceedings of the National Academy of Sciences of the United States. Nov 16, 2010, Vol. 107 Issue 46, p19696, 6 p.
Publication Year :: 2010
Abstract: We give a simple proof of the [lambda] = d - 2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d [greater than or equal to] 3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d = 2 via a monotone flow governed by the fast diffusion equation. Gagliardo-Nirenberg-Sobolev | gradient flow doi/ 10.1073/pnas.1008323107

Subjects :: Inequalities (Mathematics) -- Usage
Mathematical analysis -- Methods
Science and technology

Language :: English
ISSN :: 00278424
Volume :: 107
Issue :: 46
Database :: Gale General OneFile
Journal :: Proceedings of the National Academy of Sciences of the United States
Publication Type :: Academic Journal
Accession number :: edsgcl.242897741

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