Global Solutions of Nonlinear Schrodinger Equations

Global Solutions of Nonlinear Schrodinger Equations
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DOI:
10.1090/coll/046
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发表时间:
1999-06
期刊:
影响因子:
3.7
通讯作者:
J. Bourgain
J. Bourgain
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
J. Bourgain

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简介和总结NLS柯西问题结果的概述进一步评论3D $H ^1 $-临界散焦NLS能量范数下的整体适定性具有周期边界条件的非线性薛定谔方程具有光滑时间相关势的线性薛定谔方程中Sobolev范数的增长Zakharov系统参考文献索引。
Introduction and summary An overview of results on the Cauchy problem for NLS Further comments 3D $H^1$-critical defocusing NLS Global wellposedness below energy norm Nonlinear Schrodinger equation with periodic boundary conditions Growth of Sobolev norms in linear Schrodinger equations with smooth time dependent potential Zakharov systems References Index.