277 citations · 658 across the 44 of their papers we have counts for
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math.AP2022★ 2 cited
Optimal regularity and fine asymptotics for the porous medium equation in bounded domains
Tianling Jin, Xavier Ros-Oton, Jingang Xiong
We prove the optimal global regularity of nonnegative solutions to the porous medium equation in smooth bounded domains with the zero Dirichlet boundary condition after certain wai…
math.AP2022
Stability of the separable solutions for a nonlinear boundary diffusion problem
Tianling Jin, Jingang Xiong, Xuzhou Yang
In this paper, we study a nonlinear boundary diffusion equation of porous medium type arising from a boundary control problem. We give a complete and sharp characterization of the…
math.AP2022★ 3 cited
Regularity of solutions to the Dirichlet problem for fast diffusion equations
Tianling Jin, Jingang Xiong
We prove global Hölder gradient estimates for bounded positive weak solutions of fast diffusion equations in smooth bounded domains with the homogeneous Dirichlet boundary conditio…