Classical solutions of nonlinear Schrödinger equations

Nakao Hayashi

doi:10.1007/BF01168683

Classical solutions of nonlinear Schrödinger equations

Nakao Hayashi

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

We prove the existence of global classical solutions to the initial value problem for the nonlinear Schrödinger equation, iu_t-Δu+q(|u|²)u=0 in iu_t - Δu + (|u|²)u = in (t, x)e{open}ℝxℝⁿ for 6≦n≦11.

Original language	English
Pages (from-to)	171-190
Number of pages	20
Journal	Manuscripta Mathematica
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/BF01168683
Publication status	Published - 1986 Jun

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title = "Classical solutions of nonlinear Schr{\"o}dinger equations",

abstract = "We prove the existence of global classical solutions to the initial value problem for the nonlinear Schr{\"o}dinger equation, iut-Δu+q(|u|2)u=0 in iut - Δu + (|u|2)u = in (t, x)e{open}ℝxℝn for 6≦n≦11.",

author = "Nakao Hayashi",

year = "1986",

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AB - We prove the existence of global classical solutions to the initial value problem for the nonlinear Schrödinger equation, iut-Δu+q(|u|2)u=0 in iut - Δu + (|u|2)u = in (t, x)e{open}ℝxℝn for 6≦n≦11.

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JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

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Classical solutions of nonlinear Schrödinger equations

Abstract

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