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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
作者:  Guo, Ling;  Wu, Hao;  Yu, Xiaochen;  Zhou, Tao
收藏  |  浏览/下载:51/0  |  提交时间: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
作者:  Alazard, Thomas;  Lazar, Omar;  Nguyen, Quoc Hung
收藏  |  浏览/下载:66/0  |  提交时间: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
作者:  Du, Qiang;  Xie, Hehu;  Yin, Xiaobo
收藏  |  浏览/下载:33/0  |  提交时间:2023/02/07
nonlocal model  peridynamics  polygonal approximation  horizon parameter  asymptotically compatible  convergence  
Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 28
作者:  Dong, Xiaojing;  Mao, Anmin
收藏  |  浏览/下载:100/0  |  提交时间:2022/04/02
quasilinear problem  nonlocal term  sign-changing solutions  genus theory  
Spatial propagation in nonlocal dispersal Fisher-KPP equations 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 10, 页码: 35
作者:  Xu, Wen-Bing;  Li, Wan-Tong;  Ruan, Shigui
收藏  |  浏览/下载:151/0  |  提交时间:2021/04/26
Nonlocal dispersal Fisher-KPP equation  Spatial propagation  Spreading speed  Asymmetric kernel  
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
作者:  Dai, Wei;  Liu, Zhao;  Qin, Guolin
收藏  |  浏览/下载:130/0  |  提交时间:2021/10/26
higher-order fractional Laplacians  Schrodinger-Hartree-Maxwell equations  classification of nonnegative solutions  super poly-harmonic properties  nonlocal nonlinearities  the method of moving spheres  
Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 30
作者:  Xu, Wen-Bing;  Li, Wan-Tong;  Ruan, Shigui
收藏  |  浏览/下载:126/0  |  提交时间:2021/01/14
nonlocal dispersal  epidemic model  spreading speed  initial data  dispersal kernel  
Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications 期刊论文
ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 页码: 50
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载:163/0  |  提交时间:2020/09/23
Uniformly elliptic nonlocal Bellman operator  Uniformly elliptic nonlocal Monge-Ampere operator  Maximum principles  Method of moving planes  Monotonicity  symmetry and uniqueness  Asymptotic properties  
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 402, 页码: 14
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:153/0  |  提交时间:2020/05/24
Nonlocal mKdV equation  Non-zero boundary conditions  Riemann surface  Inverse scattering transform  Matrix Riemann-Hilbert problem  Solitons  
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrodinger equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 79, 页码: 123-130
作者:  Yan, Zhenya
收藏  |  浏览/下载:139/0  |  提交时间:2018/07/30
Two families of parameters  Local, nonlocal, and mixed-local-nonlocal VNLS equations  Lax pair  Conservation laws  PT symmetry  Symmetry reductions