Boundary regularity for nondivergence elliptic equation with unbounded drift
Date
2019-03-12
Authors
Huang, Yongpan
Zhai, Qiaozhu
Zhou, Shulin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Elliptic equations, Strong solutions, Unbounded drift, Boundary regularity
Citation
Huang, Y., Zhai, Q., & Zhou, S. (2019). Boundary regularity for nondivergence elliptic equation with unbounded drift. <i>Electronic Journal of Differential Equations, 2019</i>(39), pp. 1-16.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.