AAM  >> Vol. 5 No. 4 (November 2016)

    Blow-Up Criteria for a Kind of Fourth Order Nonlinear Schro¨dinger Equations

  • 全文下载: PDF(560KB) HTML   XML   PP.672-682   DOI: 10.12677/AAM.2016.54079  
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米彩莲,卢美虹,杨晗:西南交通大学数学学院,四川 成都

非线性Schro¨dinger方程初值问题B-G型不等式整体解爆破准则Nonlinear Schro¨dinger Equation Initial Value Problem B-G Type Inequality Global Solution Blow-Up Criteria



The initial-boundary value problem for a kind of fourth order nonlinear Schro¨dinger equations is studied in this paper. Firstly, with the help of the semi-group theory, the existence and uniqueness of local solution of initial value problem is obtained. Secondly, a new global existence criterion for the classical solution is given by using B-G inequality, namely, that whether the solution globally exists is determined by whether its H2 norm blows up.

米彩莲, 卢美虹, 杨晗. 一类四阶非线性Schro¨dinger方程的爆破准则[J]. 应用数学进展, 2016, 5(4): 672-682. http://dx.doi.org/10.12677/AAM.2016.54079


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