Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds

Global existence and scattering for the nonlinear Schrodinger equation on Schwarzschild manifolds
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Schwarzschild流形上非线性薛定谔方程的全局存在性和散射

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
A.Soffer
A.Soffer
中科院分区:
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文献类型:
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作者:
I. Laba;A.Soffer

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我们考虑Schwarzschild流形上的NLS。对于具有充分局域化初始数据的径向解,证明了波算子的全局存在性、L^p估计和渐近完备性
We consider the NLS on Schwarzschild manifold.For radial solutions with sufficiently localized initial data,global existence,L^p estimates and asymptotic completeness of the wave operators is proved