5 citations · 5 across the 8 of their papers we have counts for
9 papers
Döblin--Fourier cancellation and kinetic Aleksandrov estimates
Amélie Loher, Connor Mooney, Clément Mouhot
We develop a cancellation mechanism for linear second-order kinetic equations in non-divergence form with measurable uniformly elliptic coefficients. We decompose the dynamics into…
Semi-convex viscosity solutions of the special Lagrangian equation
Connor Mooney, Ravi Shankar
We prove smoothness and interior derivative estimates for viscosity solutions to the special Lagrangian equation with almost negative phases and small enough semi-convexity. We sho…
Remarks on the quadratic Hessian equation
Connor Mooney
We prove that viscosity solutions to the quadratic Hessian equation cannot touch a harmonic function on a minimal surface from below. This can be viewed as a form…
Solutions to the minimal surface system with large singular sets
Connor Mooney, Ovidiu Savin
Lawson and Osserman proved that the Dirichlet problem for the minimal surface system is not always solvable in the class of Lipschitz maps. However, it is known that minimizing seq…
Bernstein theorems for nonlinear geometric PDEs
Connor Mooney
In this expository article we revisit the Bernstein problem for several geometric PDEs including the minimal surface, Monge-Ampère, and special Lagrangian equations. We also discus…
Global Well-posedness and Convergence Analysis of Score-based Generative Models via Sharp Lipschitz Estimates
Connor Mooney, Zhongjian Wang, Jack Xin +1
We establish global well-posedness and convergence of the score-based generative models (SGM) under minimal general assumptions of initial data for score estimation. For the smooth…
Counterexamples to maximal regularity for operators in divergence form
Sebastian Bechtel, Connor Mooney, Mark Veraar
In this paper, we present counterexamples to maximal -regularity for a parabolic PDE. The example is a second-order operator in divergence form with space and time-dependent c…
A half-space Bernstein theorem for anisotropic minimal graphs
Wenkui Du, Connor Mooney, Yang Yang +1
We prove that an anisotropic minimal graph over a half-space with flat boundary must itself be flat. This generalizes a result of Edelen-Wang to the anisotropic case. The proof use…
The Monge-Ampère Equation
Connor Mooney
In this survey article we discuss the interior and boundary regularity of Alexandrov solutions to . We include some topics which it seems were not recently revisited…