Gradient estimates for transmission problems with nonsmooth internal boundaries
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Date
2018-02-20
Authors
Jang, Yunsoo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Elliptic system, Transmission problem, Measurable coefficient, Reifenberg domain
Citation
Jang, Y. (2018). Gradient estimates for transmission problems with nonsmooth internal boundaries. <i>Electronic Journal of Differential Equations, 2018</i>(52), pp. 1-16.
Rights
Attribution 4.0 International