A. Schikorra - T. T. Shieh - D. Spector
$L^p$-theory for fractional gradient PDE with VMO coefficients
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Inserted: 25 mar 2015
Last Updated: 12 oct 2015
Pages: 10
Year: 2015
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.
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