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Monte Carlo fPINNs: Deep learning method for forward and inverse problems involving high dimensional fractional partial differential equations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 400, 页码: 17
Authors:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
Favorite  |  View/Download:36/0  |  Submit date:2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  

On the dynamics of the roots of polynomials under differentiation

期刊论文

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 卷号: 162, 页码: 1-22
Authors:  Alazard, Thomas;  Lazar, Omar;  Nguyen, Quoc Hung
Favorite  |  View/Download:52/0  |  Submit date:2023/02/07
Transport equations  Nonlocal operators  Well-posedness  Regularity  
ON THE CONVERGENCE TO LOCAL LIMIT OF NONLOCAL MODELS WITH APPROXIMATED INTERACTION NEIGHBORHOODS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2046-2068
Authors:  Du, Qiang;  Xie, Hehu;  Yin, Xiaobo
Favorite  |  View/Download:30/0  |  Submit date:2023/02/07
nonlocal model  peridynamics  polygonal approximation  horizon parameter  asymptotically compatible  convergence  
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces 期刊论文
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 页码: 49
Authors:  Lunardi, Alessandra;  Rockner, Michael
Favorite  |  View/Download:123/0  |  Submit date:2021/04/26
Direct Methods for Pseudo-relativistic Schrodinger Operators 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 页码: 64
Authors:  Dai, Wei;  Qin, Guolin;  Wu, Dan
Favorite  |  View/Download:125/0  |  Submit date:2020/09/23
Pseudo-relativistic Schrodinger operators  Epigraph  3D boson star equations  Direct methods of moving planes  Direct sliding methods  
Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 卷号: 189, 页码: 26
Authors:  Liu, Zhisu;  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download:237/0  |  Submit date:2020/01/10
Dancer-Fucik point spectrum  Fractional Schrodinger operators  Foliated Schwartz symmetric  Nonresonance  
Integration by parts formula for regional fractional Laplacian 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 卷号: 266, 期号: 2, 页码: 289-329
Authors:  Guan, Qing-Yang
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Nonlocal symmetries and nonlocal recursion operators 期刊论文
Acta Mathematica Scientia, 2001, 卷号: 21, 期号: 1, 页码: 103
Authors:  Zhang HQ(张鸿庆);  Chen YF(陈玉福)
Favorite  |  View/Download:87/0  |  Submit date:2020/01/10