# 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} }

## 5 Citations

On the impossibility of $W_p^2$ estimates for elliptic equations with piecewise constant coefficients

- Mathematics
- 2014

Parabolic Equations in Simple Convex Polytopes with Time Irregular Coefficients

- MathematicsSIAM 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

- Mathematics
- 2012

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…

Compressible Navier–Stokes–Fourier flows at steady-state

- MathematicsSão Paulo Journal of Mathematical Sciences
- 2021

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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On linear and nonlinear elliptic boundary value problems in the plane with discontinuous coefficients

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Lp-Estimates for a Solution to the Dirichlet Problem and to the Neumann Problem for the Heat Equation in a Wedge with Edge of Arbitrary Codimension

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Solvability of second-order equations with hierarchically partially BMO coefficients

- Mathematics
- 2012

By using some recent results for divergence form equations, we study the $L_p$-solvability of second-order elliptic and parabolic equations in nondivergence form for any $p\in (1,\infty)$. The…