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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：70/0  |  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  
Normalized solutions to p-Laplacian equations with combined nonlinearities 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 11, 页码: 5621-5663
作者:  Zhang, Zexin;  Zhang, Zhitao
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
normalized solutions  p-Laplacian equations  critical point  ground state  Pohozaev identity  
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：52/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
Can financial crisis be detected? Laplacian energy measure 期刊论文
EUROPEAN JOURNAL OF FINANCE, 2022, 页码: 28
作者:  Huang, Chuangxia;  Deng, Yunke;  Yang, Xin;  Yang, Xiaoguang;  Cao, Jinde
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
Financial crisis  complex network  Laplacian energy  network structure  seasonal-trend decomposition procedure based on loess (STL)  
W-Entropy, Super Perelman Ricci Flows, and (K, m)-Ricci Solitons 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 卷号: 30, 期号: 3, 页码: 3149-3180
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载：151/0  |  提交时间：2020/09/23
W-entropy  Witten Laplacian  CD(K, m)-condition  (K, m)-Ricci solitons  (K, m)-super Perelman Ricci flows  (K, m)-Perelman Ricci flow  Gaussian solitons  
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：152/0  |  提交时间：2020/09/23
fractional Laplacian  Gegenbauer polynomials  modified rational functions  unbounded domains  Fourier transforms  spectral methods  
W-entropy formulas on super Ricci flows and Langevin deformation on Wasserstein space over Riemannian manifolds 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 8, 页码: 1385-1406
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载：173/0  |  提交时间：2018/09/08
W-entropy  Witten Laplacian  Langevin deformation  (K, m)-super Ricci flows  
ON HARNACK INEQUALITIES FOR WITTEN LAPLACIAN ON RIEMANNIAN MANIFOLDS WITH SUPER RICCI FLOWS 期刊论文
ASIAN JOURNAL OF MATHEMATICS, 2018, 卷号: 22, 期号: 3, 页码: 577-598
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载：179/0  |  提交时间：2018/09/08
Harnack inequality  super Perelman Ricci flows  Witten Laplacian  
Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds 期刊论文
POTENTIAL ANALYSIS, 2018, 卷号: 48, 期号: 2, 页码: 181-206
作者:  Fang, Shizan;  Luo, Dejun
收藏  |  浏览/下载：185/0  |  提交时间：2018/07/30
Navier-Stokes equations  Stochastic representation  de Rham-Hodge Laplacian  Stochastic flow  Pull-back vector field  
Distributed Bounds on the Algebraic Connectivity of Graphs With Application to Agent Networks 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 卷号: 47, 期号: 8, 页码: 2121-2131
作者:  Li, Xiuxian;  Chen, Michael Z. Q.;  Su, Housheng;  Li, Chanying
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Agent networks  distributed bounds  spectral radius  the algebraic connectivity  the Laplacian matrix