西南石油大学学报(自然科学版) ›› 1992, Vol. 14 ›› Issue (2): 124-134.DOI: 10.3863/j.issn.1000-2634.1992.02.17

• 论文 • 上一篇    

一类广泛的耦合Schrodinger-klein-Gordon方程组的初边值问题

江晓涛1 胡越2

  

  1. (1.西南石油学院,2.焦作矿业学院)
  • 收稿日期:1991-09-01 修回日期:1900-01-01 出版日期:1992-04-20 发布日期:1992-04-20

INITIAL BOUNDARY VALUE PROBLEIVFOR A CLASS OF GENERAL COUPLED SCHRODINGER KLEIN-GORDON EQUATIONS

Jiang Xiao-tao1 Hu Yue2

  

  1. (1.Dept. o f Basic Courses;2.liaoZuoMfining Institute)
  • Received:1991-09-01 Revised:1900-01-01 Online:1992-04-20 Published:1992-04-20

摘要: 本文考虑一类非线性耦合Schrodinger—klein—Gordon方程组的初边值问题,采用Galerkin方法与紧致性原理,在较弱的条件下,证明了该问题整体解的存在性。

关键词: Schr6dinger—Klein—Gordon方程, 初边位问题, 整体弱解, Gazerkin方法, 紧致性原理

Abstract: The initial-boundary-value problem for a class of general coupled Schrodinger-Klein-Gordon equations is considered in this paper, Under weak conditions, the existence of the global weak solution to the problem is proved
by applying Galerkin method and the principle of compactness,
Schrodinger-Klein-Gordon equation;Initiel-boundsry-value problem;Global

Key words: weak solution, Galerkin method, principle of compactness

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