Global existence on nonlinear Schrödinger-IMBq equations

Yonggeun Cho, Tohru Ozawa

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4 Citations (Scopus)

Abstract

In this paper, we consider the Cauchy problem of SchrÖdinger-IMBq equations in ℝn, n ≥ 1. We first show the global existence and blowup criterion of solutions in the energy space for the 3 and 4 dimensional system without power nonlinearity under suitable smallness assumption. Secondly the global existence is established to the system with p-powered nonlinearity in Hs (ℝn), n = 1, 2 for some n/2 < s < min(2, p) and some p > n/2. We also provide a blowup criterion for n = 3 in Triebel-Lizorkin space containing BMO space naturally.

Original languageEnglish
Pages (from-to)535-552
Number of pages18
JournalJournal of Mathematics of Kyoto University
Volume46
Issue number3
Publication statusPublished - 2006
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

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