Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

Gaku Hoshino; Tohru Ozawa

doi:10.1007/s00030-016-0362-5

Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

Gaku Hoshino, Tohru Ozawa

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We study the global Cauchy problem for the mass critical nonlinear Schrödinger equations. We prove the global existence of analytic solutions in both space and time variables for sufficiently small and exponentially decaying Cauchy data. The method of proof depends on the Leibniz rule for the generator of pseudo-conformal transforms at the L² critical level.

Original language	English
Article number	3
Pages (from-to)	1-10
Number of pages	10
Journal	Nonlinear Differential Equations and Applications
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s00030-016-0362-5
Publication status	Published - 2016 Feb 1

Keywords

Analytic smoothing effect
Global existence
Nonlinear Schrödinger equation

ASJC Scopus subject areas

Applied Mathematics
Analysis

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10.1007/s00030-016-0362-5

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Hoshino, G., & Ozawa, T. (2016). Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations. Nonlinear Differential Equations and Applications, 23(1), 1-10. [3]. https://doi.org/10.1007/s00030-016-0362-5

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KW - Global existence

KW - Nonlinear Schrödinger equation

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