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},
  journal={Advances in Mathematics},
  year={2013},
  volume={238},
  pages={24-49}
}
  • Hongjie Dong
  • Published 1 November 2012
  • Mathematics
  • Advances in Mathematics
View PDF on arXiv
5 Citations
Background Citations
2
Results Citations
1

5 Citations

Citation Type

Citation Type

On the impossibility of $W_p^2$ estimates for elliptic equations with piecewise constant coefficients
Parabolic Equations in Simple Convex Polytopes with Time Irregular Coefficients
TLDR
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…
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Compressible Navier–Stokes–Fourier flows at steady-state
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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