EIGENFUNCTION

作品数:56被引量:49H指数:3
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相关领域:理学更多>>
相关作者:黄滨更多>>
相关机构:金陵科技学院更多>>
相关期刊:《Journal of Ocean University of China》《Communications in Nonlinear Science and Numerical Simulation》《Science China Mathematics》《Communications in Theoretical Physics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金NSAF联合基金更多>>
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LOG-CONCAVITY OF THE FIRST DIRICHLET EIGENFUNCTION OF SOME ELLIPTIC DIFFERENTIAL OPERATORS AND CONVEXITY INEQUALITIES FOR THE RELEVANT EIGENVALUE
《Acta Mathematica Scientia》2025年第1期143-152,共10页Andrea COLESANTI 
supported by the project Disuguaglianze analitiche e geometriche,funded by the Gruppo per Analisi Matematica la Probabilitàe le loro Applicazioni.
Given an open bounded subset Ω of ℝ^(n) we consider the eigenvalue problem{Δu-(■u,■V)=-λvu,u>0inΩ,u=0 onδΩ,where V is a given function defined inΩandλV is the relevant eigenvalue.We determine sufficient cond...
关键词:EIGENVALUE LOG-CONCAVITY elliptic operator Brunn-Minkowski inequality convex body 
Symmetries and bilinear equations for the modified BKP hierarchy
《Science China Mathematics》2023年第7期1529-1544,共16页Weici Guo Wenchuang Guan Shen Wang Jipeng Cheng 
supported by National Natural Science Foundation of China(Grant No.12171472)。
The modified Kadomtsev-Petviashvili hierarchy of B type(mBKP hierarchy)and its constrained cases are investigated from the aspect of the Lax formulation.Starting from the Lax equation of the mBKP hierarchy,we firstly ...
关键词:mBKP hierarchy tau functions additional symmetries squared eigenfunction symmetries constrained mBKP hierarchy bilinear equations 
Structure of Periodic Flows through a Channel with a Suddenly Expanded and Contracted Part
《Open Journal of Fluid Dynamics》2023年第S1期232-249,共18页Takuya Masuda Toshio Tagawa Miah Md. Ashraful Alam Yasutaka Hayamizu 
With respect to flows in a two-dimensional sudden expansion and contraction channel having a pair of cavities, numerical simulation was performed by imposing inlet/outlet boundary conditions giving a velocity distribu...
关键词:Frequency Spectrum HARMONIC Wave Number Phase Velocity SUPERPOSITION Eigenfunction Profile 
具有勢壘的Sturm-Liouville算子的特徵值和特徵函數
《Chinese Quarterly Journal of Mathematics》2023年第1期50-61,共12页SARWAR Qanitah 黄振友 ZAHID Abdul Hannan XU Xin-Jian 
We aim to find the eigenvalues and eigenfunctions of the barrier potential case for Strum-Liouville operator on the finite interval [0,π] when λ > 0. Generally, the eigenvalue problem for the Sturm-Liouville operato...
关键词:Sturm-Liouville operator EIGENVALUE EIGENFUNCTION Barrier potential Asymptotic estimate 
Some mathematical aspects of Anderson localization:boundary effect,multimodality,and bifurcation
《Communications in Theoretical Physics》2022年第11期45-64,共20页Chen Jia Ziqi Liu Zhimin Zhang 
the support from National Natural Science Foundation of China with grants No.11871092,No.12131005;NSAF U1930402。
Anderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered medium.Here we generalize the landscape theory of Anderson localization to general elliptic operators ...
关键词:landscape spectrum EIGENVALUE EIGENMODE EIGENFUNCTION elliptic operator Schr?dinger operator CONFINEMENT 
New tomographic reconstruction technique based on Laplacian eigenfunction
《Plasma Science and Technology》2020年第10期5-9,共5页Yasuhiro SUZUKI Shishir PUROHIT Satoshi OHDACHI Satoshi YAMAMOTO Kazunobu NAGASAKI 
performed under the auspices of the NIFS Bilateral Collaboration Research Program (NIFS10KUHL037);partly supported by Grant-in-aid for Scientific Research (B) 18H01202 from the Japan Society for the Promotion of Science (JSPS) and JSPS-CAS Joint Research Program, Grant number JPJSBP120197202;supported by JSPS Core-to-Core Program A. Advanced Research Networks,'PLADyS'。
This letter proposes a new tomographic reconstruction procedure based on the Laplacian eigenfunction(LEF) patterns, which are independent of the plasma cross-section and do not require the flux surface information. Th...
关键词:TOMOGRAPHY Laplacian eigenfunction Heliotron J soft x-ray 
An Efficient Method for Local Base Transform in Pekeris Waveguide with Radiation Condition
《Journal of Applied Mathematics and Physics》2020年第5期780-792,共13页Jianxin Zhu Haibo Chen 
In this paper, for the fast computation of the coordinates under the basis of the eigenfunctions of Helmholtz operator, we derive the conjugate operator with the radiation boundary condition. Further, we prove the cro...
关键词:HELMHOLTZ OPERATOR Radiation Boundary Condition CONJUGATE OPERATOR EIGENFUNCTION EXPANSION ORTHOGONALITY Pekeris Waveguide 
A Renormalized-Hamiltonian-Flow Approach to Eigenenergies and Eigenfunctions被引量:1
《Communications in Theoretical Physics》2019年第7期861-868,共8页Wen-Ge Wang 
Supported by the National Natural Science Foundation of China under Grant Nos.11275179,11535011,and 11775210
We introduce a decimation scheme of constructing renormalized Hamiltonian flows,which is useful in the study of properties of energy eigenfunctions,such as localization,as well as in approximate calculation of eigenen...
关键词:generalized Brillouin-Wigner perturbation theory HAMILTONIAN FLOW EIGENFUNCTION structure EIGENVALUE 
Exponential Stability of the Euler-Bernoulli Beam Equation with External Disturbance and Output Feedback Time-Delay
《Journal of Systems Science & Complexity》2019年第2期542-556,共15页WU Jilong SHANG Yingfeng 
supported by the National Science Natural Foundation in China under Grant No.61773277
This paper concerns the stability of a one-dimensional Euler-Bernoulli beam equation with external disturbance and output feedback time-delay, in which the disturbance is bounded by an exponential function. In order t...
关键词:EIGENFUNCTION measurement EXPONENTIAL stability external DISTURBANCE feedback control 
Data-Driven Nonlinear Control for Orbit Transfer: From the Earth to Moon and L4/5
《Modern Mechanical Engineering》2019年第1期1-12,共12页Xianyang Chen 
From the recent thirty years, scientists will never stop exploring the outer space. To assist the development of travelling into the universe, I devote myself into providing theoretical support and future indications ...
关键词:RESTRICTED Three Body Problem Koopman EIGENFUNCTION NON-LINEAR System 
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