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    • 赵军生,杨延冰,徐润章.非线性Schr\"{o}dinger 方程解的整体存在和爆破的门槛结果[J].数学年刊A辑,2013,34(4):443~450
    非线性Schr\"{o}dinger 方程解的整体存在和爆破的门槛结果
    Sharp Conditions for Global Existence and Blow-up ofthe Solution to Nonlinear Schr¨odinger Equation
      
    DOI：
    中文关键词:  非线性 Schr\"{o}dinger 方程, 位势井, 整体存在性, 爆破, 门槛结果
    英文关键词:Nonlinear Schrodinger equation, Potential well, Global existence, Blow-up, Sharp condition
    基金项目:国家自然科学基金 (No.11101102), 国家教育部博士点基金 (No.20102304120022), 黑龙江省自然科学基金 (No.A201014), 黑龙江省教育厅科学技术研究项目 (No.12521401), 黑龙江省普通高等学校青年学术骨干支持计划项目 (No.1252G020), 哈尔滨工程大学基础科学基金(No. HEUF01101)和中央高校基本科研业务费专项基金(No. HEUF20131101)
    Author NameAffiliationE-mail
    ZHAO Junsheng College of Mathematical Science, Heilongjiang University, Harbin 150008, China. zhaojunsh@yeah.net 
    YANG Yanbing College of Automation, Harbin Engineering University, Harbin 150001, China. yanbing_yang@yeah.net 
    XU Runzhang College of Science, Harbin Engineering University, Harbin 150001, China. xurunzh@yahoo.com.cn 
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    中文摘要:
          研究了非线性 Schr\"{o}dinger 方程的柯西问题. 通过引进位势井及其外部集合, 得到了解的整体存在性和爆破的门槛结果.
    英文摘要:
          The authors study the Cauchy problem of nonlinear Schr¨odinger equation. By introducing a potential well and its corresponding outside set, some sharp conditions for global existence and blow-up of the solution are obtained.
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