Lp theory for fractional gradient PDE with VMO coefficients

Armin Schikorra, Tien Tsan Shieh, Daniel Spector

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

摘要

In this paper, we prove L p estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are VMO. In particular, our work extends the optimal regularity known in the second order elliptic setting to a spectrum of fractional order elliptic equations.

原文英語
頁(從 - 到)433-443
頁數11
期刊Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
26
發行號4
DOIs
出版狀態已發佈 - 2015
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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