Jang, Yunsoo2022-01-072022-01-072018-02-20Jang, Y. (2018). Gradient estimates for transmission problems with nonsmooth internal boundaries. <i>Electronic Journal of Differential Equations, 2018</i>(52), pp. 1-16.1072-6691https://hdl.handle.net/10877/15108In this paper we obtain an interior gradient estimate for a weak solution of a transmission problem with nonsmooth internal boundaries. The coefficients are assumed to be merely measurable in one variable and have small BMO semi-norms in the other variables on each subdomain whose boundary satisfies the so-called delta-Reifenberg flat condition. Under these assumptions, we prove a Calderon-Zygmund type estimate.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalElliptic systemTransmission problemMeasurable coefficientReifenberg domainArticle