17 citations · 34 across the 14 of their papers we have counts for
4 papers · 1 filter
Porous Medium Equation with A Drift: Free boundary Regularity
Inwon Kim, Yuming Paul Zhang
We study regularity properties of the free boundary for solutions of the porous medium equation with the presence of drift. We show the regularity of the free boundary, w…
Regularity theory for Second order Integro-PDEs
Chenchen Mou, Yuming Zhang
This paper is concerned with higher Hölder regularity for viscosity solutions to non-translation invariant second order integro-PDEs, compared to \cite{mou2018}. We first obtain $C…
Continuity Properties for Divergence Form Boundary Data Homogenization Problems
William M. Feldman, Yuming Paul Zhang
We study the continuity/discontinuity of the effective boundary condition for periodic homogenization of oscillating Dirichlet data for nonlinear divergence form equations and line…
On a Class of Diffusion-Aggregation Equations
Yuming Zhang
We investigate the diffusion-aggregation equations with degenerate diffusion and singular interaction kernel with . We analy…