3 papers
math.AP2025
Global Schauder Regularity and Convergence for Uniformly Degenerate Parabolic Equations
Qing Han, Jiongduo Xie
In this paper, we study the global Hölder regularity of solutions to uniformly degenerate parabolic equations. We also study the convergence of solutions as time goes to infinity…
math.AP2024
Uniformly Degenerate Elliptic Equations with Varying Characteristic Exponents
Qing Han, Jiongduo Xie
In this paper, we study the regularity of solutions to uniformly degenerate elliptic equations in bounded domains under the condition that the characteristic polynomials have varyi…
math.AP2024
Optimal Boundary Regularity for Uniformly Degenerate Elliptic Equations
Qing Han, Jiongduo Xie
In this survey paper, we study the optimal regularity of solutions to uniformly degenerate elliptic equations in bounded domains and establish the Hölder continuity of solutions a…