678 citations · 994 across the 24 of their papers we have counts for
4 papers · 1 filter
Solving the Dirichlet problem for the Monge-Ampère equation using neural networks
Kaj Nyström, Matias Vestberg
The Monge-Ampère equation is a fully nonlinear partial differential equation (PDE) of fundamental importance in analysis, geometry and in the applied sciences. In this paper we sol…
On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients
M. Litsgård, K. Nyström
We consider fractional operators of the form where and $A=…
Parabolic Singular Integrals with Nonhomogeneous Kernels
Simon Bortz, John Hoffman, Steve Hofmann +2
We establish boundedness of all "nice" parabolic singular integrals on "Good Parabolic Graphs", aka {\em regular} Lip(1,1/2) graphs. The novelty here is that we include non-h…
Corona Decompositions for Parabolic Uniformly Rectifiable Sets
Simon Bortz, John Hoffman, Steve Hofmann +2
We prove that parabolic uniformly rectifiable sets admit (bilateral) corona decompositions with respect to regular Lip(1,1/2) graphs. Together with our previous work, this allows u…