Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

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• 作者：Nakao Hayashi ; Yuichiro Kawahara and Pavel I. Naumkin
• 关键词：Nonlinear Schrö ; dinger equations ; Lower bounds of time decay
• 刊名：Nonlinear Analysis
• 出版年：2006
• 出版时间：1 October 2006
• 年：2006
• 卷：65
• 期：7
• 页码：1394-1410
• 全文大小：236 K

文摘

We study sharp time asymptotics of solutions around the final states of nonlinear Schrödinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.