標題: A Decomposition by Non-Negative Functions in the Sobolev Space W-k,W-1
作者: Ponce, Augusto C.
Spector, Daniel
應用數學系
Department of Applied Mathematics
公開日期: 1-Jan-2020
摘要: We show how a strong capacitary inequality can be used to give a decomposition of any function in the Sobolev space W-k,W-1 (R-d) as the difference of two non-negative functions in the same space with control of their norms.
URI: http://dx.doi.org/10.1512/iumj.2020.69.8237
http://hdl.handle.net/11536/153981
ISSN: 0022-2518
DOI: 10.1512/iumj.2020.69.8237
期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume: 69
Issue: 1
起始頁: 151
結束頁: 169
Appears in Collections:Articles