A unified deep artificial neural network approach to partial differential equations in complex geometries J Berg, K Nyström Neurocomputing 317, 28-41, 2018 | 738 | 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 |
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 | 90 | 2015 |
Univariate extreme value theory, garch and measures of risk K Nystrom, J Skoglund Preprint, Swedbank, 2002 | 90 | 2002 |
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 | 73 | 2007 |
Unique continuation on the boundary for Dini domains I Kukavica, K Nyström Proceedings of the American Mathematical Society 126 (2), 441-446, 1998 | 69 | 1998 |
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 | 65 | 2017 |
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 | 62 | 2004 |
Extension properties and boundary estimates for a fractional heat operator K Nyström, O Sande Nonlinear Analysis 140, 29-37, 2016 | 53 | 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 | 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 | 46 | 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 | 41 | 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 |