5 papers · 1 filter
Eventual regularity of the volume-preserving mean curvature flow in three and two dimensions
Vedansh Arya, Seongmin Jeon, Vesa Julin
The recent work of Morini-Oronzio-Spadaro and the third author shows that, in three dimensions, a flat-flow solution of the volume-preserving mean curvature flow that converges to…
Degenerate or singular parabolic systems with partially DMO coefficients: the Dirichlet problem
Hongjie Dong, Seongmin Jeon
In this paper, we study solutions of parabolic systems in divergence form with zero Dirichlet boundary conditions in the upper-half cylinder , wh…
Boundary estimates for elliptic operators in divergence form with VMO coefficients
Hongjie Dong, Seongmin Jeon
We establish boundary regularity estimates for elliptic systems in divergence form with VMO coefficients. Additionally, we obtain nondegeneracy estimates of the Hopf-Oleinik type l…
Schauder type estimates for degenerate or singular parabolic systems with partially DMO coefficients
Hongjie Dong, Seongmin Jeon
We study elliptic and parabolic systems in divergence form with degenerate or singular coefficients. Under the conormal boundary condition on the flat boundary, we establish bounda…
Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients
Hongjie Dong, Seongmin Jeon, Stefano Vita
In this paper, we study degenerate or singular elliptic equations in divergence form Whe…