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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载：68/0  |  提交时间：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
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：53/0  |  提交时间：2023/02/07
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems 期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
作者:  Chen, Chuchu;  Hong, Jialin;  Sheng, Derui
收藏  |  浏览/下载：117/0  |  提交时间：2022/04/29
Hitting probability  Numerical discretization  Stochastic parabolic system  Critical dimension  

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  

Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp;

 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 399, 页码: 52
作者:  Alazard, Thomas;  Quoc-Hung Nguyen
收藏  |  浏览/下载：30/0  |  提交时间：2023/02/07
Muskat equation  
hDirect-MAP: projection-free single-cell modeling of response to checkpoint immunotherapy 期刊论文
BRIEFINGS IN BIOINFORMATICS, 2022, 卷号: 23, 期号: 2, 页码: 16
作者:  Lu, Yong;  Xue, Gang;  Zheng, Ningbo;  Han, Kun;  Yang, Wenzhong;  Wang, Rui-Sheng;  Wu, Lingyun;  Miller, Lance D.;  Pardee, Timothy;  Triozzi, Pierre L.;  Lo, Hui-Wen;  Watabe, Kounosuke;  Wong, Stephen T. C.;  Pasche, Boris C.;  Zhang, Wei;  Jin, Guangxu
收藏  |  浏览/下载：125/0  |  提交时间：2023/02/07
single-cell RNA sequencing (scRNA-seq)  single-cell mass cytometry (CyTOF)  Pareto optimization  projection-free single-cell modeling  response to immune checkpoint blockade  
A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 38
作者:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：121/0  |  提交时间：2022/04/02
Sine-type Camassa-Holm equation  Well-posedness  Holder continuity  Blow-up criterion and quantity  Wave breaking  
Liouville type theorem for critical order Henon-Lane-Emden type equations on a half space and its applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 10, 页码: 37
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
Critical order  Henon-Lane-Emden type equations  Liouville theorems  A priori estimates  
Improved gravitational radiation time-scales II: Spin-orbit contributions and environmental perturbations 期刊论文
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2021, 卷号: 506, 期号: 1, 页码: 1007-1018
作者:  Zwick, Lorenz;  Capelo, Pedro R.;  Bortolas, Elisa;  Vazquez-Aceves, Veronica;  Mayer, Lucio;  Amaro-Seoane, Pau
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
black hole physics  gravitational waves  methods: analytical  
ON MULTIPLICITY OF SEMI-CLASSICAL SOLUTIONS TO NONLINEAR DIRAC EQUATIONS OF SPACE-DIMENSION n 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 卷号: 41, 期号: 9, 页码: 4105-4123
作者:  Ding, Yanheng;  Dong, Xiaojing;  Guo, Qi
收藏  |  浏览/下载：106/0  |  提交时间：2022/04/02
Nonlinear Dirac equation  Semi-classical solutions  Multiplicity  Variational methods  subcritical and critical nonlinearity