Analytic smoothing effect for global solutions to nonlinear Schrödinger equations

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• 作者：T. Ozawa ; K. Yamauchi
• 关键词：Nonlinear Schrö ; dinger equations ; Analytic smoothing effect ; Global solutions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2010
• 出版时间：15 April 2010
• 年：2010
• 卷：364
• 期：2
• 页码：492-497
• 全文大小：159 K

文摘

We prove the global existence of analytic solutions to the Cauchy problem for the cubic Schrödinger equation in space dimension n3 for sufficiently small data with exponential decay at infinity. Minimal regularity assumption regarding scaling invariance is imposed on the Cauchy data.