SUBCRITICAL SCATTERING FOR DEFOCUSING NONLINEAR SCHRÖDINGER EQUATIONS

SUBCRITICAL SCATTERING FOR DEFOCUSING NONLINEAR SCHRÖDINGER EQUATIONS
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用于消焦非线性薛定谔方程的亚临界散射

DOI:
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发表时间:
2017
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通讯作者:
Jason Murphy
Jason Murphy
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文献类型:
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作者:
Jason Murphy

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本文综述了离焦非线性Schrödinger方程解的渐近行为的一些已知结果。特别地,我们讨论了临界间NLS的H1散射理论,以及质量-亚临界情况下加权空间中的散射理论。我们还讨论了远程情况下修正散射的一个实例。
We survey some known results concerning the asymptotic behavior of solutions to defocusing nonlinear Schrödinger equations. In particular, we discuss the H1 scattering theory for intercritical NLS, as well as the scattering theory in weighted spaces for the mass-subcritical case. We also discuss an instance of modified scattering in the long-range case.