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检索条件"主题词=cross-constrained variational problem"
3 条 记 录,以下是1-10 订阅
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Sharp Threshold of Global Existence for the Klein-Gordon Equations with Critical Nonlinearity
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Acta Mathematicae Applicatae Sinica 2009年 第2期25卷 273-282页
作者: Zai-hui Gan Bo-ling Guo Jian Zhang College of Mathematics and Software Science Sichuan Normal University Chengdu 610068 China Institute of Applied Physics and Computational Mathematics PO Box 8009 Beijing 100088 China
In this paper, we present a cross-constrained variational method to study the Cauchy problem of the nonlinear Klein-Gordon equations with critical nonlinearity in two space dimensions. By constructing a type of cross-... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Sharp Criterion of Global Existence for Nonlinear Schrodinger Equation with a Harmonic Potential
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Acta Mathematica Sinica,English Series 2009年 第4期25卷 537-544页
作者: Ji SHU Jian ZHANG Sichuan Provincial Key Laboratory of Computer Software Sichuan Normal University Chengdu 610066 P. R. China College of Mathematics and Software Science Sichuan Normal University Chengdu 610066 P. R. China
This paper discusses nonlinear SchrSdinger equation with a harmonic potential. By constructing a different cross-constrained variational problem and the so-called invariant sets, we derive a new threshold for blow-up ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
Sharp Condition for Global Existence of Supercritical Nonlinear Schrodinger Equation with a Partial Confinement
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Acta Mathematicae Applicatae Sinica 2023年 第1期39卷 202-210页
作者: Cheng-lin WANG Jian ZHANG University of Electronic Science and Technology of China Chengdu 611731China
We study the L^(2)-supercritical nonlinear Schrodinger equation(NLS) with a partial confinement,which is the limit case of the cigar-shaped model in Bose-Einstein condensate(BEC). By constructing a cross constrained v... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论