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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Nonlinear elliptic equations on the upper half space
期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 卷号: 24, 期号: 01, 页码: 20
Authors:
Tang, Sufang
;
Wang, Lei
;
Zhu, Meijun
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View/Download:6/0
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Submit date:2022/04/02
Curvature equation
Kelvin transform
moving plane method
moving sphere method
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE
期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
Authors:
Yan, Shusen
;
Yu, Weilin
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View/Download:5/0
  |  
Submit date:2022/04/02
The Euler flow
semilinear elliptic equation
variational method
free boundary problem
reduction
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle
期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
Authors:
Huang, Feimin
;
Kuang, Jie
;
Wang, Dehua
;
Xiang, Wei
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View/Download:7/0
  |  
Submit date:2022/04/02
Transonic flow
Contact discontinuity
Free boundary
Compressible Euler flow
Finitely long nozzle
Periodic Solutions to Klein-Gordon Systems with Linear Couplings
期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
Authors:
Chen, Jianyi
;
Zhang, Zhitao
;
Chang, Guijuan
;
Zhao, Jing
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View/Download:15/0
  |  
Submit date:2021/10/26
Wave Equation
Variational Method
Klein-Gordon System
Periodic Solutions
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:
Wang, Li
;
Yan, Zhenya
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Submit date:2021/10/26
Defocusing NLS equation with the
time-dependent potential
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven rogue waves and parameter discovery
Yau type gradient estimates for Delta u plus au(log u)(p) + bu=0 on Riemannian manifolds
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 498, 期号: 1, 页码: 24
Authors:
Peng, Bo
;
Wang, Youde
;
Wei, Guodong
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View/Download:43/0
  |  
Submit date:2021/04/26
Gradient estimate
Ricci curvature
Nonlinear elliptic equation
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
Authors:
Chen, Shuyan
;
Yan, Zhenya
;
Guo, Boling
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View/Download:40/0
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Submit date:2021/06/01
Focusing Hirota equation
Non-zero boundary conditions
Inverse scattering
Oscillatory Riemann-Hilbert problem
Nonlinear steepest-descent method
Long-time asymptotics
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials
期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
Authors:
Ma, Qiang
;
Ye, Shuyu
;
Cui, Junzhi
;
Yang, Zhiqiang
;
Jiang, Xue
;
Li, Zhihui
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View/Download:36/0
  |  
Submit date:2021/04/26
Hierarchically perforated structure
Successive two-scale asymptotic analysis
Neumann-type elliptic eigenvalue problem
Second-order two-scale and three-scale
asymptotic computations
Finite element simulation
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
Authors:
Cao, Daomin
;
Jia, Huifang
;
Luo, Xiao
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  |  
Submit date:2021/04/26
Schrodinger equation
vander Waals type potentials
Normalized solutions
Stability
Variational methods
EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 4, 页码: 4965-4984
Authors:
Dong, Xiaojing
;
Mao, Anmin
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View/Download:5/0
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Submit date:2022/04/02
quasilinear elliptic equation
perturbation method
genus theory