✦ LIBER ✦

Local regularity of the monotone rearrangement

✍ Scribed by J.E Rakotoson; J.M Rakotoson

Book ID: 104349706
Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 143 KB
Volume: 17
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90074-2

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✦ Synopsis

We prove that if a function u is locally integrable with its gradient also locally integrable on a connected open set ~, then its monotone decreasing rearrangement is locally absolutely continuous provided that gt can be approximated by a sequence of Lipchitz connected bounded open sets. C

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