TY - JOUR
T1 - Lp theory for fractional gradient PDE with VMO coefficients
AU - Schikorra, Armin
AU - Shieh, Tien Tsan
AU - Spector, Daniel
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
KW - Commutators
KW - Fractional elliptic PDE
KW - VMO coefficients
UR - https://www.scopus.com/pages/publications/84944190689
UR - https://www.scopus.com/pages/publications/84944190689#tab=citedBy
U2 - 10.4171/RLM/714
DO - 10.4171/RLM/714
M3 - Article
AN - SCOPUS:84944190689
SN - 1120-6330
VL - 26
SP - 433
EP - 443
JO - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
JF - Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
IS - 4
ER -