Gradient estimates for transmission problems with nonsmooth internal boundaries

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dc.contributor.authorJang, Yunsoo
dc.date.accessioned2022-01-07T21:34:03Z
dc.date.available2022-01-07T21:34:03Z
dc.date.issued2018-02-20
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJang, Y. (2018). Gradient estimates for transmission problems with nonsmooth internal boundaries. <i>Electronic Journal of Differential Equations, 2018</i>(52), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15108
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectElliptic system
dc.subjectTransmission problem
dc.subjectMeasurable coefficient
dc.subjectReifenberg domain
dc.titleGradient estimates for transmission problems with nonsmooth internal boundaries
dc.typeArticle

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