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Applicable Analysis
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#1T. Q. Son (Saigon University)
#2C. F. Wen (KMU: Kaohsiung Medical University)
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#1Haoyue Cui (TUC: Tianjin University of Commerce)H-Index: 1
#2Zhong-Jie Han (TJU: Tianjin University)H-Index: 8
Last. Genqi Xu (TJU: Tianjin University)H-Index: 19
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ABSTRACTIn this paper, the stabilization problem of one-dimensional Schrodinger equation with boundary disturbance is concerned. The variable structure control technique is adopted to design the nonlinear feedback controller. For the Schrodinger system, the observation blind point problem is discussed and the relationship between the initial data and observation blind point is given. According to a theorem which can be regarded as an extended version of the Lions–Lax–Milgram theorem, the existen...
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#1Dongxiang Chen (Jiangxi Normal University)
#2Xiaoli Chen (Jiangxi Normal University)
Last. Lijing Sun (UWM: University of Wisconsin–Milwaukee)
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This paper establishes the local existence, uniqueness and a blow-up criterion for the solutions to the inviscid incompressible Euler equation in Triebel–Lizorkin–Morrey space . As an application, we also derive the global persistence of the initial regularity in Triebel–Lizorkin–Morrey space for the solutions of 2-D Euler equation. These results are established using the logarithmic inequality of Beal–Kato–Majda type, the Moser type of inequality and commutator estimates in Triebel–Lizorkin–Mor...
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#1Hélène BarucqH-Index: 8
#2Henri Calandra (Total S.A.)H-Index: 11
Last. Elvira ShisheninaH-Index: 1
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Discontinuous finite element methods have proven their numerical accuracy and flexibility, but they are still criticized for requiring high number of degrees of freedom for computation. There have been some advances with Hybridizable Discontinuous Galerkin (HDG) approximations but essentially in the time-harmonic regime, because the time integration requires implicit schemes. Another possibility to explore seems to be Trefftz methods, which distinguish themselves by the choice of basis functions...
1 CitationsSource
Last. Chunlai Mu (Chongqing University)H-Index: 17
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#1Sara Bousba (HIT: Harbin Institute of Technology)
#2Yukun Guo (HIT: Harbin Institute of Technology)H-Index: 7
Last. Longsuo Li (HIT: Harbin Institute of Technology)
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ABSTRACTThis paper concerns the direct sampling method for solving the inverse problem of identifying point sources for the Helmholtz equation from far-field data. We develop some novel indicator functions which could determine the locations and intensities of the target multipolar sources with a single wavenumber. Theoretically, the indicating behaviors are rigorously analyzed. Two- and three-dimensional numerical experiments are conducted to illustrate the effectiveness and robustness of the p...
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#1Xiaohong Guan (Henan Normal University)
#2Linfeng Mei (Henan Normal University)
Liouville type results for positive radial entire solutions of the weighted Lane–Emden system are established, where , satisfy , i=1,2. Meanwhile, classification of singularities at the origin of positive radial solutions of this system on the punctured unit ball and singular positive radial solutions of the Dirichlet problem of this system in the unit ball are also obtained.
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#1Johannes ElschnerH-Index: 15
#2Guanghui HuH-Index: 12
Last. Masahiro Yamamoto (UTokyo: University of Tokyo)H-Index: 28
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1 CitationsSource
#1Weihong Xie (CSU: Central South University)H-Index: 1
#2Chen Chen (CSU: Central South University)H-Index: 1
1 CitationsSource
#1Evgeny Korotyaev (SPbU: Saint Petersburg State University)H-Index: 13
#2Dmitrii Mokeev (SPbU: Saint Petersburg State University)H-Index: 1
ABSTRACTWe consider the Dirac operator with a periodic potential on the half-line with the Dirichlet boundary condition at zero. Its spectrum consists of an absolutely continuous part plus at most ...
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Top fields of study
Mathematical optimization
Mathematical analysis
Nonlinear system
Boundary value problem
Mathematics