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一类耦合非线性Klein-Gordon方程组整体解存在的充分条件 被引量：3

A Sufficient Condition for the Existence of Global Solutions to Coupled Nonlinear Klein-Gordon Equations
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摘要 研究一类耦合非线性Klein Gordon方程组的柯西问题.在已有结果(Math.Meth.Appl.Sci.,2003,26:11～25.)的基础上,根据初值与基态的关系,通过尺度讨论,得出了该柯西问题整体解存在的充分条件,完善了已有结果. The Cauchy problem for a class of coupled nonlinear Klein-Gordon equations is studied. Based on (Math. Meth. Appl. Sci.,2003,26:11～25.), according to the relation between the Cauchy data and the ground state, a sufficient condition for the existence of global solutions of the Cauchy problem is obtained by scaling argument, the result improve some well-known results.
作者 陈渝芝 张晓强
机构地区 重庆工学院数理学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 2004年第5期486-488,共3页 Journal of Sichuan Normal University（Natural Science）
关键词 耦合 K1ein-Gordon方程组 整体解 尺度讨论 基态 Coupled Klein-Gordon equations Global solution Scaling argument Ground state
分类号 O177.91 [理学—基础数学]
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参考文献13

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共引文献41

同被引文献25

  • 1曹瑞,张健.耦合非线性Klein-Gordon方程组的周期解[J].四川师范大学学报（自然科学版）,2006,29(2):158-160. 被引量：9
  • 2舒级,张健.具阻尼的Gross-Pitaevskii方程在二维空间中的坍塌性质[J].四川师范大学学报（自然科学版）,2006,29(1):16-18. 被引量：4
  • 3蒋毅,蒲志林,孟宪良.一类非线性Schrdinger方程组的整体解和爆破解[J].四川师范大学学报（自然科学版）,2006,29(1):22-25. 被引量：4
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四川师范大学学报（自然科学版）
2004年 第5期

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