# On elliptic equations in a half space or in convex wedges with irregular coefficients

@article{Dong2013OnEE,
title={On elliptic equations in a half space or in convex wedges with irregular coefficients},
author={Hongjie Dong},
year={2013},
volume={238},
pages={24-49}
}
• Hongjie Dong
• Published 1 November 2012
• Mathematics
5 Citations
Parabolic Equations in Simple Convex Polytopes with Time Irregular Coefficients
• Mathematics
SIAM J. Math. Anal.
• 2014
It is proved the W 1,2 p-estimate and solvability for the Dirichlet problem of second-order parabolic equations in simple convex polytopes with time irregular coefficients when p is in (1,2) when the coefficients are unknown.
Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates
We establish several gradient estimates for second-order divergence type parabolic and elliptic systems. The coefficients and data are assumed to be Hölder or Dini continuous in the time variable and
Boundary Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates
• Mathematics
• 2013
We study boundary gradient estimates for second-order divergence type parabolic and elliptic systems in $C^{1,\alpha}$ domains. The coefficients and data are assumed to be H\"older in the time
The heat conducting compressible viscous flows are governed by the Navier-Stokes-Fourier (NSF) system. In this paper, we study the NSF system accomplished by the Newton law of cooling for the heat

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