26 citations · 53 across the 14 of their papers we have counts for
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Interior and boundary mixed norm derivative estimates for nonstationary Stokes equations
Hongjie Dong, Hyunwoo Kwon
We obtain weighted mixed norm Sobolev estimates in the whole space for nonstationary Stokes equations in divergence and nondivergence form with variable viscosity coefficients that…
Global existence and uniqueness of weak solutions of a Stokes-Magneto system with fractional diffusions
Hyunseok Kim, Hyunwoo Kwon
We consider a Stokes-Magneto system in () with fractional diffusions and for the velocity and…
Elliptic equations in divergence form with drifts in
Hyunwoo Kwon
We consider the Dirichlet problem for second-order linear elliptic equations in divergence form \begin{equation*} -\mathrm{div }(A\nabla u)+\mathbf{b} \cdot \nabla u+λu=f+\mathrm{d…
Existence and uniqueness of weak solution in for elliptic equation with drifts in weak- spaces
Hyunwoo Kwon
We consider the following Dirichlet problems for elliptic equations with singular drift : \[ \text{(a) } -\operatorname{div}(A \nabla u)+\operatorname{div}(u\mathbf{b})…
Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains
Hyunseok Kim, Hyunwoo Kwon
We consider the Dirichlet and Neumann problems for second-order linear elliptic equations: \[ -\triangle u +\mathrm{div}(u\mathbf{b}) =f \quad\text{ and }\quad -\triangle v -\mathb…