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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：71/0  |  提交时间：2023/02/07
normalized solutions  p-Laplacian equations  critical point  ground state  Pohozaev identity  
Boundary Stability Criterion for a Nonlinear Axially Moving Beam 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 11, 页码: 5714-5729
作者:  Cheng, Yi;  Wu, Yuhu;  Guo, Bao-Zhu
收藏  |  浏览/下载：104/0  |  提交时间：2023/02/07
Mathematical models  Stability criteria  Structural beams  Vibrations  Strain  Numerical stability  Feedback control  Absolute stabilization  axially moving beam  boundary control  exponential stability  
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：57/0  |  提交时间：2023/02/07
Physics -informed neural networks  Fractional Laplacian  Nonlocal operators  Uncertainty quantification  
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：106/0  |  提交时间：2023/02/07
Wave equation  Unbounded domain  Boundary integral equation  Well-posedness  Convolution quadrature  Stability  Convergence  Error estimate  
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：109/0  |  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：117/0  |  提交时间：2022/04/29
Normalized solution  Critical point  Minimax theorem  Schrodinger equation  Exterior domain  
Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 20
作者:  Yang, Jiaqing;  Li, Jianliang;  Zhang, Bo
收藏  |  浏览/下载：140/0  |  提交时间：2022/04/29
inverse acoustic scattering  Lippmann-Schwinger equation  uniqueness  rough interface  embedded obstacle  
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：95/0  |  提交时间：2022/06/21
oscillatory behavior  neutral differential equation  third-order  
INVERSE ELASTIC SCATTERING FOR A RANDOM POTENTIAL\ast 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 5, 页码: 5126-5159
作者:  LI, Jianliang;  LI, Peijun;  Wang, Xu
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
inverse scattering problem  elastic wave equation  generalized Gaussian random field  pseudodifferential operator  principal symbol  uniqueness  
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：93/0  |  提交时间：2023/02/07
biharmonic nonlinear Schrodinger equations  normalized solution  orbital stability  general nonlinearity