Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

File(s)

1006.2255v1.pdf (181.39 KB)

Accepted version

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Author(s)

Carlen, Eric A

Carrillo, Jose A

Loss, Michael

Type

Journal Article

Abstract

We give a simple proof of the lambda = d - 2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d >= 3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d = 2 via a monotone flow governed by the fast diffusion equation.

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Date Issued

2010-11-16

Citation

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 107, pp.{19696-19701}-{19696-19701}

URI

http://hdl.handle.net/10044/1/19125

DOI

https://www.dx.doi.org/10.1073/pnas.1008323107

ISSN

0027-8424

Publisher

NATL ACAD SCIENCES

Start Page

{19696-19701}

End Page

{19696-19701}

Journal / Book Title

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Volume

107

Issue

46

Copyright Statement

© 2010 The Authors. Published under license by National Academy of Sciences.

License URL

http://www.rioxx.net/licenses/all-rights-reserved

Description

04.02.15 KB. OK to add accepted version to spiral

Identifier

http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000284261800021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202

Publication Status

Published

Article Number

46