2 papers
math.AP2024
Continuity estimates for the gradient of solutions to the Monge-Ampère equation with nature boundary conditions
Huaiyu Jian, Ruixuan Zhu
We study the first derivative estimates for solutions to Monge-Ampère equations in terms of modulus of continuity. As a result, we establish the optimal global log-Lipschitz contin…
math.AP2024
A priori estimates for parabolic Monge-Ampère type equations
Yang Zhou, Ruixuan Zhu
We prove the existence and regularity of convex solutions to the first initial-boundary value problem for the parabolic Monge-Ampère equationn $$ \left\{\begin{eqnarray} &&-u_t+\de…