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Scattering for Focusing Combined Power-type NLS 被引量:1

Scattering for Focusing Combined Power-type NLS
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摘要 We consider the scattering of Cauchy problem for the focusing combined power-type Schroodinger equation. In the spirit of concentration-compactness method, we will show that, H1 solution will scatter under some condition on its energy and mass. We adapt some variance argument, following the idea of Ibrahim–Masmoudi–Nakanishi. We consider the scattering of Cauchy problem for the focusing combined power-type Schroodinger equation. In the spirit of concentration-compactness method, we will show that, H1 solution will scatter under some condition on its energy and mass. We adapt some variance argument, following the idea of Ibrahim–Masmoudi–Nakanishi.
作者 Jian XIE
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第5期805-826,共22页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant Nos.11226184,11226065,11271322 and11271105)
关键词 Nonlinear Schroodinger equation SCATTERING concentration-compactness method Nonlinear Schroodinger equation,scattering,concentration-compactness method
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  • 1Justin Holmer,Svetlana Roudenko.A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schr?dinger Equation[J].Communications in Mathematical Physics.2008(2)
  • 2Carlos E. Kenig,Frank Merle.Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schr?dinger equation in the radial case[J].Inventiones mathematicae.2006(3)
  • 3Thierry Cazenave,Fred B. Weissler.Rapidly decaying solutions of the nonlinear Schr?dinger equation[J].Communications in Mathematical Physics.1992(1)
  • 4Man Kam Kwong.Uniqueness of positive solutions of Δu?u+up=0 in Rn[J].Archive for Rational Mechanics and Analysis.1989(3)
  • 5Kenji Yajima.Existence of solutions for Schr?dinger evolution equations[J].Communications in Mathematical Physics.1987(3)
  • 6H. Berestycki,P. -L. Lions.Nonlinear scalar field equations, I existence of a ground state[J].Archive for Rational Mechanics and Analysis.1983(4)
  • 7Michael I. Weinstein.Nonlinear Schr?dinger equations and sharp interpolation estimates[J].Communications in Mathematical Physics.1983(4)
  • 8Walter A. Strauss.Existence of solitary waves in higher dimensions[J].Communications in Mathematical Physics.1977(2)
  • 9Akahori T,Nawa H.Blowup and scattering problems for the nonlinear Schrdinger equations[]..
  • 10Duyckaerts T,Holmer J,Roudenko S.Scattering for the non-radial 3D cubic nonlinear Schrdinger equations[].Mathematical Research Letters.2008

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