output
19992022
most citedSolving high-dimensional partial differential equations using deep learning

1.8k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2016 · math.APShow all

2 papers · 2 filters

math.AP2016★ 14 cited

Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces

Adam Andersson, Mario Hefter, Arnulf Jentzen +1

In this article we establish regularity properties for solutions of infinite dimensional Kolmogorov equations. We prove that if the nonlinear drift coefficients, the nonlinear diff…

math.AP2016★ 29 cited

Statistical solutions of hyperbolic conservation laws I: Foundations

Ulrik Skre Fjordholm, Samuel Lanthaler, Siddhartha Mishra

We seek to define statistical solutions of hyperbolic systems of conservation laws as time-parametrized probability measures on -integrable functions. To do so, we prove the equ…