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Universal potential estimates for 1 < p <= 2-1 dagger n 期刊论文
MATHEMATICS IN ENGINEERING, 2023, 卷号: 5, 期号: 3, 页码: 1-24
作者:  Nguyen, Quoc-Hung;  Phuc, Nguyen Cong
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
pointwise estimate  potential estimate  Wolff?s potential  Riesz?s potential  fractional maximal function  Caldero?n space  p-Laplacian  quasilinear equation  measure data  
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
作者:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
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
作者:  Lunardi, Alessandra;  Rockner, Michael
收藏  |  浏览/下载：133/0  |  提交时间：2021/04/26
Normalized solutions to the fractional Schrodinger equations with combined nonlinearities 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 卷号: 59, 期号: 4, 页码: 35
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：183/0  |  提交时间：2020/10/12
RATIONAL SPECTRAL METHODS FOR PDEs INVOLVING FRACTIONAL LAPLACIAN IN UNBOUNDED DOMAINS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 2, 页码: A585-A611
作者:  Tang, Tao;  Wang, Li-Lian;  Yuan, Huifang;  Zhou, Tao
收藏  |  浏览/下载：148/0  |  提交时间：2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
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
作者:  Guan, Qing-Yang
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Reflected symmetric alpha-stable processes and regional fractional Laplacian 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2006, 卷号: 134, 期号: 4, 页码: 649-694
作者:  Guan, QY;  Ma, ZM
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
reflected symmetric alpha-stable process  regional fractional Laplacian  integration by parts formula  semi-martingale decomposition  
Boundary problems for fractional Laplacians 期刊论文
STOCHASTICS AND DYNAMICS, 2005, 卷号: 5, 期号: 3, 页码: 385-424
作者:  Guan, QY;  Ma, ZM
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30
reflected alpha-stable processes  fractional Laplacian  Feynman-Kac semigroup  boundary value problem