The cauchy problem for coupled nonlinear Schrödinger equations with linear damping: Local and global existence and blowup of solutions

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• 作者：João-Paulo Dias ; Mário Figueira…
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：37
• 期：5
• 页码：665-682
• 全文大小：230 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261
• 卷排序：37

文摘

The authors study, by applying and extending the methods developed by Cazenave (2003), Dias and Figueira (2014), Dias et al. (2014), Glassey (1994–1997), Kato (1987), Ohta and Todorova (2009) and Tsutsumi (1984), the Cauchy problem for a damped coupled system of nonlinear Schrödinger equations and they obtain new results on the local and global existence of H1-strong solutions and on their possible blowup in the supercritical case and in a special situation, in the critical or supercritical cases.KeywordsNonlinear Schrödinger equationsCauchy problemBlowup of solutionsDissipation