Boundary regularity for nondivergence elliptic equation with unbounded drift

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dc.contributor.authorHuang, Yongpan
dc.contributor.authorZhai, Qiaozhu
dc.contributor.authorZhou, Shulin
dc.date.accessioned2021-11-01T20:25:10Z
dc.date.available2021-11-01T20:25:10Z
dc.date.issued2019-03-12
dc.description.abstractWe obtain the pointwise boundary differentiability of strong solutions for elliptic equations with the lower order coefficients, the boundary, and the right-hand side term satisfying a Dini type condition. Furthermore, we establish a pointwise estimate of strong solutions and show that the gradients of the strong solutions are continuous along the boundary if the drift term, the boundary, and the right-hand side term satisfy a uniform Dini type condition on the boundary.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHuang, Y., Zhai, Q., & Zhou, S. (2019). Boundary regularity for nondivergence elliptic equation with unbounded drift. Electronic Journal of Differential Equations, 2019(39), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14748
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectElliptic equations
dc.subjectStrong solutions
dc.subjectUnbounded drift
dc.subjectBoundary regularity
dc.titleBoundary regularity for nondivergence elliptic equation with unbounded drift
dc.typeArticle

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