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Endpoint Sobolev Theory for the Muskat Equation 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 60
作者:  Alazard, Thomas;  Quoc-Hung Nguyen
收藏  |  浏览/下载：52/0  |  提交时间：2023/02/07
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  
Local uniqueness of vortices for 2D steady Euler flow in a bounded domain 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 9, 页码: 43
作者:  Cao, Daomin;  Yu, Weilin;  Zou, Changjun
收藏  |  浏览/下载：50/0  |  提交时间：2023/02/07
The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
Improve Robustness and Accuracy of Deep Neural Network with L-2,L-infinity Normalization 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 页码: 26
作者:  Yu Lijia;  Gao Xiao-Shan
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Deep neural network  global robustness measure  L-2,L-infinity  normalization  over-fitting  Rademacher complexity  smooth DNN  
GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY 期刊论文
KINETIC AND RELATED MODELS, 2022, 页码: 45
作者:  Wang, Yong;  Xiao, Changguo;  Zhang, Yinghui
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
Quantum Boltzmann equation  large amplitude initial data  global existence  fermions  bosons  large time behavior  
Fidelity-disturbance-entropy tradeoff in quantum channels 期刊论文
Physical Review A, 2022, 卷号: 105, 期号: 6, 页码: 062458(9)
作者:  Y Sun;  N Li;  S Luo
收藏  |  浏览/下载：121/0  |  提交时间：2023/09/13
STATE DISTURBANCE  INFORMATION GAIN  ERROR  
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：112/0  |  提交时间：2022/04/29
Normalized solution  Critical point  Minimax theorem  Schrodinger equation  Exterior domain  
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials 期刊论文
CALCOLO, 2022, 卷号: 59, 期号: 1, 页码: 32
作者:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：117/0  |  提交时间：2022/04/02
Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
Approximation capabilities of measure-preserving neural networks 期刊论文
NEURAL NETWORKS, 2022, 卷号: 147, 页码: 72-80
作者:  Zhu, Aiqing;  Jin, Pengzhan;  Tang, Yifa
收藏  |  浏览/下载：116/0  |  提交时间：2022/06/21
Measure-preserving  Neural networks  Dynamical systems  Approximation theory  
ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
作者:  Gong, Wei;  Mateos, Mariano;  Singler, John;  Zhang, Yangwen
收藏  |  浏览/下载：119/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes flows  energy space  regularity  finite element method  error estimates