標題: A note on the fractional perimeter and interpolation
作者: Ponce, Augusto C.
Spector, Daniel
應用數學系
Department of Applied Mathematics
公開日期: 1-九月-2017
摘要: We present the fractional perimeter as a set-function interpolation between the Lebesgue measure and the perimeter in the sense of De Giorgi. Our motivation comes from a new fractional Boxing inequality that relates the fractional perimeter and the Hausdorff content and implies several known inequalities involving the Gagliardo seminorm of the Sobolev spaces W-alpha,W-1 of order 0 < alpha < 1. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
URI: http://dx.doi.org/10.1016/j.crma.2017.09.001
http://hdl.handle.net/11536/143999
ISSN: 1631-073X
DOI: 10.1016/j.crma.2017.09.001
期刊: COMPTES RENDUS MATHEMATIQUE
Volume: 355
起始頁: 960
結束頁: 965
顯示於類別:期刊論文