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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：49/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
Integrable nonlocal derivative nonlinear Schrodinger equations 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
作者:  Ablowitz, Mark J.;  Luo, Xu-Dan;  Musslimani, Ziad H.;  Zhu, Yi
收藏  |  浏览/下载：105/0  |  提交时间：2022/06/21
inverse scattering transform  Riemann-Hilbert problems  Gel'fand-Levitan-Marchenko equations  the derivative NLS equations  solitons  
Integrable nonlocal derivative nonlinear Schr?dinger equations 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 6
作者:  Ablowitz,Mark J;  Luo,Xu-Dan;  Musslimani,Ziad H;  Zhu,Yi
收藏  |  浏览/下载：90/0  |  提交时间：2022/06/21
inverse scattering transform  Riemann–Hilbert problems  Gel’fand–Levitan–Marchenko equations  the derivative NLS equations  solitons  
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：99/0  |  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：149/0  |  提交时间：2021/04/26
Nonlocal dispersal Fisher-KPP equation  Spatial propagation  Spreading speed  Asymmetric kernel  
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：151/0  |  提交时间：2020/05/24
Nonlocal mKdV equation  Non-zero boundary conditions  Riemann surface  Inverse scattering transform  Matrix Riemann-Hilbert problem  Solitons  
Multiple solutions on a p-biharmonic equation with nonlocal term 期刊论文
Boundary Value Problems, 2016, 卷号: 2016, 期号: 1
作者:  Xiu,Zonghu;  Zhao,Jing;  Chen,Jianyi;  Li,Shengjun
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
variational methods  nonlocal term  biharmonic equation  35J20  35J62  35J92  
Concentrating standing waves for the fractional Schr?dinger equation with critical nonlinearities 期刊论文
Boundary Value Problems, 2015, 卷号: 2015, 期号: 1
作者:  Li,Suhong;  Ding,Yanheng;  Chen,Yu
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
ground state  concentration  standing waves  nonlocal  35Q40  49J35  
Concentrating standing waves for the fractional Schrodinger equation with critical nonlinearities 期刊论文
BOUNDARY VALUE PROBLEMS, 2015, 页码: 26
作者:  Li, Suhong;  Ding, Yanheng;  Chen, Yu
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
ground state  concentration  standing waves  nonlocal  
Sign-changing and multiple solutions of Kirchhoff type problems without the PS condition 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 卷号: 70, 期号: 3, 页码: 1275-1287
作者:  Mao, Anmin;  Zhang, Zhitao
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Critical points  Sign-changing solutions and multiple solutions  Kirchhoff type nonlocal problems