Lᵖ-theory for fractional gradient PDE with VMO coefficients
Schikorra, Armin · Shieh, Tien-Tsan · Spector, Daniel
Original · EN
In this paper, we prove Lᵖ 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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