Abstract
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.
Original language | English |
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Pages (from-to) | 433-443 |
Number of pages | 11 |
Journal | Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni |
Volume | 26 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2015 |
Externally published | Yes |
Keywords
- Commutators
- Fractional elliptic PDE
- VMO coefficients
ASJC Scopus subject areas
- General Mathematics