5 papers · 1 filter
Inverse Spectral Problem With Low Regularity Refractive Index
Kewen Bu, Youjun Deng, Yan Jiang +1
This article investigates the unique determination of a radial refractive index n from spectral data. First, we demonstrate that for piecewise twice continuously differentiable fun…
Pointwise Regularity for Fully Nonlinear Elliptic Equations in General Forms
Yuanyuan Lian, Lihe Wang, Kai Zhang
In this paper, we develop systematically the pointwise regularity for viscosity solutions of fully nonlinear elliptic equations in general forms. In particular, the equations with…
Interior regularity for fully nonlinear uniformly elliptic equations in dimension two
Kai Zhang
In this note, we present the interior regularity for viscosity solutions of fully nonlinear uniformly elliptic equations in dimension two.
Boundary Hölder gradient estimates for parabolic -Laplace type equations
Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1
In this paper, we study the boundary regularity for viscosity solutions of parabolic -Laplace type equations. In particular, we obtain the boundary pointwise regulari…
Time derivative estimates for parabolic -Laplace equations and applications to optimal regularity
Se-Chan Lee, Yuanyuan Lian, Hyungsung Yun +1
We establish the boundedness of time derivatives of solutions to parabolic -Laplace equations. Our approach relies on the Bernstein technique combined with a suitable approximat…