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 2020 · math.APShow all

5 papers · 2 filters

math.AP2020★ 1 cited

Weighted analyticity of Hartree-Fock eigenfunctions

Yvon Maday, Carlo Marcati

We prove analytic-type estimates in weighted Sobolev spaces on the eigenfunctions of a class of elliptic and nonlinear eigenvalue problems with singular potentials, which includes…

math.AP2020★ 30 cited

The higher order fractional Calderón problem for linear local operators: uniqueness

Giovanni Covi, Keijo Mönkkönen, Jesse Railo +1

We study an inverse problem for the fractional Schrödinger equation (FSE) with a local perturbation by a linear partial differential operator (PDO) of order smaller than the order…

math.AP2020★ 3 cited

Div-Curl Problems and -regular Stream Functions in 3D Lipschitz Domains

Matthias Kirchhart, Erick Schulz

We consider the problem of recovering the divergence-free velocity field of a given vorticity on a bounded…

math.AP2020★ 44 cited

Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems

Giovanni Covi, Keijo Mönkkönen, Jesse Railo

We prove a unique continuation property for the fractional Laplacian when . In addition, we study Poincaré-type inequalities for t…

math.AP2020★ 8 cited

On the conservation of energy in two-dimensional incompressible flows

S. Lanthaler, S. Mishra, C. Parés-Pulido

We prove the conservation of energy for weak and statistical solutions of the two-dimensional Euler equations, generated as strong (in an appropriate topology) limits of the underl…