theory for fractional gradient PDE with coefficients

  • Armin Schikorra

    Albert-Ludwigs-Universität Freiburg, Germany
  • Tien-Tsan Shieh

    National Central University, Chung Li, Taiwan
  • Daniel Spector

    National Chiao Tung University, Hsinchu, Taiwan


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

Cite this article

Armin Schikorra, Tien-Tsan Shieh, Daniel Spector, theory for fractional gradient PDE with coefficients. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 4, pp. 433–443

DOI 10.4171/RLM/714