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Escobar’s Conjecture on a Sharp Lower Bound for the First Nonzero Steklov Eigenvalue: 《Peking Mathematical Journal》2024年第2期759-778,共20页Chao Xia Changwei Xiong; supported by NSFC(Grant nos.11871406,12271449);supported by Australian Laureate Fellowship FL150100126 of the Australian Research Council;National Key R and D Program of China 2021YFA1001800 and NSFC(Grant no.12171334).; It was conjectured by Escobar(J Funct Anal 165:101–116,1999)that for an ndimensional(n≥3)smooth compact Riemannian manifold with boundary,which has nonnegative Ricci curvature and boundary principal curvatures bound...; 关键词：Stekloveigenvalue Laplacian eigenvalue Sharp bound Nonnegative sectional curvature

The Life Span of Classical Solutions to Nonlinear Wave Equations with Weighted Terms in Three Space Dimensions: 《Acta Mathematica Sinica,English Series》2024年第12期2984-3002,共19页Hu Sheng WANG Fan Lü; Supported by National Natural Science Foundation (Grant No.71572156); The paper considers the Cauchy problem with small initial values for semilinear wave equations with weighted nonlinear terms.Similar to Strauss exponent p0(n)which is the positive root of the quadratic equation 1+1/2(...; 关键词：Wave equation classical solution life span lower bound upper bound

A robust joint frequency spectrum and power allocation strategy in a coexisting radar and communication system: 《Chinese Journal of Aeronautics》2024年第10期393-409,共17页Haowei ZHANG Weijian LIU Qun ZHANG Taiyong FEI; Supported by the National Natural Science Foundation of China(No.62071482);Shaanxi Association of Science and Technology Youth Talent Support Program Project,China(No.20230137);the Innovative Talents Cultivate Program for Technology Innovation Team of ShaanXi Province,China(No.2024RS-CXTD-08);the Youth Talent Lifting Project of the China Association for Science and Technology(No.2021-JCJQ-QT-018).; The resource allocation technique is of great significance in achieving frequency spectrum coexistence in Joint Radar-Communication(JRC) systems, by which the problem of radio frequency spectrum congestion can be well...; 关键词：Radar and communication system Bi-objective optimization Resource allocation Cramér-Rao lower bound Communication data ratio

Improved lower bound for the complexity of unique shortest vector problem: 《Cybersecurity》2024年第3期102-110,共9页Baolong Jin Rui Xue; This work is funded by National Natural Science Foundation of China(Grants No.62172405).; Unique shortest vector problem(uSVP)plays an important role in lattice based cryptography.Many cryptographic schemes based their security on it.For the cofidence of those applications,it is essential to clarify the co...; 关键词：Computational complexity Unique shortest vector problem Bounded distance decoding Complexity reduction

The twisted conical Kahler-Ricci solitons on Fano manifolds: 《Science China Mathematics》2024年第5期1085-1102,共18页Xishen Jin Jiawei Liu; supported by National Natural Science Foundation of China(Grant No.12001532);supported by the Special Priority Program SPP 2026“Geometry at Infinity”from the German Research Foundation(DFG)。; In this paper,we show the relation between the existence of twisted conical K?hler-Ricci solitons and the greatest log Bakry-Emery-Ricci lower bound on Fano manifolds.This is based on our proofs of some openness theor...; 关键词：greatest log Bakry-Emery-Ricci lower bound twisted conical Kahler-Ricci soliton twisted Kahler-Ricci soliton

Optimization of Generator Based on Gaussian Process Regression Model with Conditional Likelihood Lower Bound Search: 《CES Transactions on Electrical Machines and Systems》2024年第1期32-42,共11页Xiao Liu Pingting Lin Fan Bu Shaoling Zhuang Shoudao Huang; supported in part by the National Key Research and Development Program of China(2019YFB1503700);the Hunan Natural Science Foundation-Science and Education Joint Project(2019JJ70063)。; The noise that comes from finite element simulation often causes the model to fall into the local optimal solution and over fitting during optimization of generator.Thus,this paper proposes a Gaussian Process Regressi...; 关键词：Generator optimization Gaussian Process Regression(GPR) Conditional Likelihood Lower Bound Search(CLLBS) Constraint improvement expectation(CEI) Finite element calculation

Correction to:Effect of undercut on the lower bound stability of vertical rock escarpment using finite element and power cone programming: 《Frontiers of Structural and Civil Engineering》2023年第12期1949-1949,共1页Shuvankar DAS Debarghya CHAKRABORTY; The original article has been corrected.The affiliation information provided in the Electronic Supplementary Material of the article[1]is incorrect and needs to be corrected.The correct affiliation information is give...; 关键词：corrected PROGRAMMING STABILITY

Robust graph‐based localization for industrial Internet of things in the presence of flipping ambiguities被引量：1: 《CAAI Transactions on Intelligence Technology》2023年第4期1140-1149,共10页Mian Imtiaz ul Haq Ruhul Amin Khalil Muhannad Almutiry Ahmad Sawalmeh Tanveer Ahmad Nasir Saeed; Localisation of machines in harsh Industrial Internet of Things(IIoT)environment is necessary for various applications.Therefore,a novel localisation algorithm is proposed for noisy range measurements in IIoT networks...; 关键词：Cramér‐Rao lower bound greedy successive anchorization industrial internet of things LOCALIZATION

Lower Bounds for Moments of Quadratic Twisted Self-dual GL(3)Central L-values: 《Acta Mathematica Sinica,English Series》2023年第11期2139-2148,共10页Sheng Hao HUA Bing Rong HUANG; National Key R&D Program of China(Grant No.2021YFA1000700);NSFC(Grant Nos.12001314 and 12031008)。; In this paper,we prove the conjectured order lower bound for the k-th moment of central values of quadratic twisted self-dual GL(3)L-functions for all k≥1,based on our recent work on the twisted first moment of centr...; 关键词：GL(3)cusp form lower bound quadratic twist central value L-FUNCTION

Resource saving based dwell time allocation and detection threshold optimization in an asynchronous distributed phased array radar network被引量：2: 《Chinese Journal of Aeronautics》2023年第11期311-327,共17页Haowei ZHANG Weijian LIU Xiao YANG; supported by the National Natural Science Foundation of China(Nos.62001506 and 62071482).; The resource optimization plays an important role in an asynchronous Phased Array Radar Network(PARN)tracking multiple targets with Measurement Origin Uncertainty(MOU),i.e.,considering the false alarms and missed dete...; 关键词：Asynchronous data fusion Bayesian detector Phased Array Radar Network(PARN) Predicted Conditional CramE´R-Rao Lower Bound(PC-CRLB) Resource management

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