Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order

M. Nakamura, Tohru Ozawa

研究成果: Article

68 引用 (Scopus)

抄録

The Cauchy problem for the nonlinear Schrödinger equations is considered in the Sobolev spaceHn/2(Rn) of critical ordern/2, where the embedding intoL(Rn) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the existence and uniqueness is proved for globalHn/2-solutions with small Cauchy data.

元の言語English
ページ(範囲)364-380
ページ数17
ジャーナルJournal of Functional Analysis
155
発行部数2
DOI
出版物ステータスPublished - 1998 6 1
外部発表Yes

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Sobolev Spaces
Nonlinear Equations
Exponential Type
Interaction
Cauchy
Breakdown
Cauchy Problem
Existence and Uniqueness
Nonlinearity

ASJC Scopus subject areas

  • Analysis

これを引用

Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order. / Nakamura, M.; Ozawa, Tohru.

:: Journal of Functional Analysis, 巻 155, 番号 2, 01.06.1998, p. 364-380.

研究成果: Article

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