A unified deep artificial neural network approach to partial differential equations in complex geometries J Berg, K Nyström
Neurocomputing 317, 28-41, 2018
615 2018 Data-driven discovery of PDEs in complex datasets J Berg, K Nyström
Journal of Computational Physics 384, 239-252, 2019
151 2019 Univariate extreme value theory, garch and measures of risk K Nystrom, J Skoglund
Preprint, Swedbank, 2002
92 2002 A new characterization of chord-arc domains J Azzam, S Hofmann, JM Martell, K Nyström, T Toro
Journal of the European Mathematical Society 19 (4), 967-981, 2017
88 2017 The Hadamard variational formula and the Minkowski problem for p-capacity A Colesanti, K Nyström, P Salani, J Xiao, D Yang, G Zhang
Advances in Mathematics 285, 1511-1588, 2015
79 2015 The Dirichlet problem for second order parabolic operators K Nyström
Indiana University Mathematics Journal, 183-245, 1997
73 1997 Boundary behaviour for harmonic functions in Lipschitz and starlike Lipschitz ring domains JL Lewis, K Nyström
Annales scientifiques de l'Ecole normale supérieure 40 (5), 765-813, 2007
70 2007 Boundary behavior and the Martin boundary problem for p harmonic functions in Lipschitz domains J Lewis, K Nyström
Annals of Mathematics, 1907-1948, 2010
65 2010 The weak-A∞ property of harmonic and p-harmonic measures implies uniform rectifiability S Hofmann, L Le, JM Martell, K Nyström
Analysis & PDE 10 (3), 513-558, 2017
63 2017 Unique continuation on the boundary for Dini domains I Kukavica, K Nyström
Proceedings of the American Mathematical Society 126 (2), 441-446, 1998
61 1998 Caloric measure in parabolic flat domains S Hofmann, JL Lewis, K Nyström
58 2004 Extension properties and boundary estimates for a fractional heat operator K Nyström, O Sande
Nonlinear Analysis 140, 29-37, 2016
49 2016 A framework for scenario-based risk management K Nystrom, J Skoglund
Preprint, Swedbank, 2002
48 2002 Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator JL Lewis, K Nyström
Advances in Mathematics 225 (5), 2565-2597, 2010
46 2010 Regularity and free boundary regularity for the Laplacian in Lipschitz and domains. JL Lewis, K Nyström
Annales Academiae Scientiarum Fennicae. Mathematica 33 (2), 523-548, 2008
44 2008 Existence of big pieces of graphs for parabolic problems S Hofmann, JL Lewis, K Nyström
Annales Fennici Mathematici 28 (2), 355-384, 2003
44 2003 The Skorohod oblique reflection problem in time-dependent domains K Nyström, T Önskog
43 2010 Neural network augmented inverse problems for PDEs J Berg, K Nyström
arXiv preprint arXiv:1712.09685, 2017
40 2017 Regularity and free boundary regularity for the 𝑝-Laplace operator in Reifenberg flat and Ahlfors regular domains J Lewis, K Nyström
Journal of the American Mathematical Society 25 (3), 827-862, 2012
39 2012 Neural ODEs as the deep limit of ResNets with constant weights B Avelin, K Nyström
Analysis and Applications 19 (03), 397-437, 2021
34 2021