A unified deep artificial neural network approach to partial differential equations in complex geometries J Berg, K Nyström
Neurocomputing 317, 28-41, 2018
737 2018 Data-driven discovery of PDEs in complex datasets J Berg, K Nyström
Journal of Computational Physics 384, 239-252, 2019
176 2019 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
95 2017 Univariate extreme value theory, garch and measures of risk K Nystrom, J Skoglund
Preprint, Swedbank, 2002
93 2002 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
91 2015 The Dirichlet problem for second order parabolic operators K Nyström
Indiana University Mathematics Journal, 183-245, 1997
77 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
72 2007 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
68 2017 Unique continuation on the boundary for Dini domains I Kukavica, K Nyström
Proceedings of the American Mathematical Society 126 (2), 441-446, 1998
68 1998 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 Caloric measure in parabolic flat domains S Hofmann, JL Lewis, K Nyström
60 2004 Extension properties and boundary estimates for a fractional heat operator K Nyström, O Sande
Nonlinear Analysis 140, 29-37, 2016
52 2016 A framework for scenario-based risk management K Nystrom, J Skoglund
Preprint, Swedbank, 2002
49 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
47 2010 Neural network augmented inverse problems for PDEs J Berg, K Nyström
arXiv preprint arXiv:1712.09685, 2017
46 2017 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
46 2008 Existence of big pieces of graphs for parabolic problems S Hofmann, JL Lewis, K Nyström
Annales Fennici Mathematici 28 (2), 355-384, 2003
45 2003 The Skorohod oblique reflection problem in time-dependent domains K Nyström, T Önskog
44 2010 Neural ODEs as the deep limit of ResNets with constant weights B Avelin, K Nyström
Analysis and Applications 19 (03), 397-437, 2021
40 2021 L well-posedness of boundary value problems for parabolic systems with measurable coefficients P Auscher, M Egert, K Nyström
Journal of the European Mathematical Society 22 (9), 2943-3058, 2020
40 2020