Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order

M. Nakamura*, T. Ozawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

81 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)364-380
Number of pages17
JournalJournal of Functional Analysis
Issue number2
Publication statusPublished - 1998 Jun 1
Externally publishedYes

ASJC Scopus subject areas

  • Analysis


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