5 citations · 5 across the 8 of their papers we have counts for
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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…