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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:51/0  |  提交时间:2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
STABLE STANDING WAVES OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
作者:  Li, Zaizheng;  Zhang, Qidi;  Zhang, Zhitao
收藏  |  浏览/下载:62/0  |  提交时间:2023/02/07
Fractional Schrodinger equations  standing wave  orbital stability  least action solution  
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
作者:  Gong, Wei;  Li, Buyang;  Yang, Huanhuan
收藏  |  浏览/下载:84/0  |  提交时间:2023/02/07
Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 29
作者:  Nguyen, Quoc-Hung;  Sire, Yannick;  Truong, Le Xuan
收藏  |  浏览/下载:58/0  |  提交时间:2023/02/07
Drift-diffusion equations  dissipative SQG  regularity  De Giorgi method  
Dynamics of nonlinear hyperbolic equations of Kirchhoff type 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 卷号: 61, 期号: 3, 页码: 43
作者:  Chen, Jianyi;  Sun, Yimin;  Xiu, Zonghu;  Zhang, Zhitao
收藏  |  浏览/下载:103/0  |  提交时间:2022/06/21
Normalized solutions of mass subcritical Schrodinger equations in exterior domains 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 卷号: 29, 期号: 3, 页码: 25
作者:  Zhang, Zexin;  Zhang, Zhitao
收藏  |  浏览/下载:111/0  |  提交时间:2022/04/29
Normalized solution  Critical point  Minimax theorem  Schrodinger equation  Exterior domain  
Liouville-Type Theorems for Fractional and Higher-Order Henon-Hardy Type Equations via the Method of Scaling Spheres 期刊论文
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 页码: 70
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载:93/0  |  提交时间:2022/06/21
Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 卷号: 38, 期号: 2, 页码: 484-496
作者:  Li, Wen-juan;  Yu, Yuan-hong
收藏  |  浏览/下载:86/0  |  提交时间:2022/06/21
oscillatory behavior  neutral differential equation  third-order  
Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrodinger equations 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 8, 页码: 2871-2898
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载:87/0  |  提交时间:2023/02/07
biharmonic nonlinear Schrodinger equations  normalized solution  orbital stability  general nonlinearity