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. Electronic Journal of Differential Equations, 2018(52), pp. 1-16.
Rights
Attribution 4.0 International