28 citations · 62 across the 8 of their papers we have counts for
8 papers
Parabolic equations with variably partially VMO coefficients
Hongjie Dong
We prove the -solvability of second order parabolic equations in nondivergence form in the whole space for . The leading coefficients are assumed to b…
A regularity criterion for the dissipative quasi-geostrophic equations
Hongjie Dong, Natasa Pavlovic
We establish a regularity criterion for weak solutions of the dissipative quasi-geostrophic equations in mixed time-space Besov spaces.
On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
Hongjie Dong, Seick Kim, Mikhail Safonov
We study boundary blow-up solutions of semilinear elliptic equations with , or with , where is a second order elliptic operator with measurable…
On the Green's matrices of strongly parabolic systems of second order
Sungwon Cho, Hongjie Dong, Seick Kim
We establish existence and various estimates of fundamental matrices and Green's matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical doma…
On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation
Hongjie Dong, Dong Li
By using a new bilinear estimate, a pointwise estimate of the generalized Oseen kernel and an idea of fractional bootstrap, we show in this note that solutions to the Navier-Stokes…
Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space
Hongjie Dong, Dapeng Du
We study the critical dissipative quasi-geostrophic equations in $\bR^2$ with arbitrary initial data. After showing certain decay estimate, a global well-posedness result is…