theory for fractional gradient PDE with coefficients
Armin Schikorra
Albert-Ludwigs-Universität Freiburg, GermanyTien-Tsan Shieh
National Central University, Chung Li, TaiwanDaniel Spector
National Chiao Tung University, Hsinchu, Taiwan
![$L^p$ theory for fractional gradient PDE with $VMO$ coefficients cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rlm-volume-26-issue-4.png&w=3840&q=90)
Abstract
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