Long range scattering for non-linear Schrödinger and Hartree equations in space dimension n≥2

J. Ginibre, T. Ozawa

研究成果: Article

118 引用 (Scopus)

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We consider the scattering problem for the non-linear Schrödinger (NLS) equation with a power interaction with critical power p=1+2/n in space dimensions n=2 and 3 and for the Hartree equation with potential |x|-1 in space dimension n≥2. We prove the existence of modified wave operators in the L2 sense on a dense set of small and sufficiently regular asymptotic states.

元の言語English
ページ(範囲)619-645
ページ数27
ジャーナルCommunications in Mathematical Physics
151
発行部数3
DOI
出版物ステータスPublished - 1993 2 1

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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