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標題Title: LIFESPAN OF SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITHOUT GAUGE INVARIANCE
作者Authors: MASAHIRO IKEDA
上傳單位Department: 電子工程系
上傳時間Date: 2012-12-5
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: schrodinger equation,lifespan,subcritical
摘要Abstract: Abstract. We study the lifespan of solutions for the nonlinear Schrödinger
equation
(NLS)
i∂tu + ∆u = λ|u|p,
(t,x) ∈ [0,T) × Rn,
with the initial condition, where 1 < p ≤ 1 + 2/n and λ ∈ C \ {0}. Our main
aim in this paper is to prove an upper bound of the lifespan in the subcritical
case 1 < p < 1 + 2/n.

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